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Finding the Fourth Proportional to 770.93, 1,156.05 and 360.19

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Solution

The fourth proportional to 770.93, 1,156.05 and 360.19 is: 540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.93 : 1,156.05 = 360.19 : x
  2. Step 2: Convert to fraction form
    770.93/1,156.05 = 360.19/x
  3. Step 3: Cross multiply
    770.93x = 1,156.05 × 360.19
  4. Step 4: Simplify right side
    770.93x = 416,390.07
  5. Step 5: Solve for x
    x = 416,390.07/770.93
  6. Step 6: Final answer
    x = 540.12

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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.