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Finding the Fourth Proportional to 770.72, 1,157.61 and 463.14

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Solution

The fourth proportional to 770.72, 1,157.61 and 463.14 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.72 : 1,157.61 = 463.14 : x
  2. Step 2: Convert to fraction form
    770.72/1,157.61 = 463.14/x
  3. Step 3: Cross multiply
    770.72x = 1,157.61 × 463.14
  4. Step 4: Simplify right side
    770.72x = 536,135.50
  5. Step 5: Solve for x
    x = 536,135.50/770.72
  6. Step 6: Final answer
    x = 695.63

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Double scale
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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.