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Finding the Fourth Proportional to 770.02, 1,155.03 and 385.18

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Solution

The fourth proportional to 770.02, 1,155.03 and 385.18 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,155.03 = 385.18 : x
  2. Step 2: Convert to fraction form
    770.02/1,155.03 = 385.18/x
  3. Step 3: Cross multiply
    770.02x = 1,155.03 × 385.18
  4. Step 4: Simplify right side
    770.02x = 444,894.46
  5. Step 5: Solve for x
    x = 444,894.46/770.02
  6. Step 6: Final answer
    x = 577.77

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.