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Finding the Fourth Proportional to 767.16, 1,059.12 and 557.12

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Solution

The fourth proportional to 767.16, 1,059.12 and 557.12 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.16 : 1,059.12 = 557.12 : x
  2. Step 2: Convert to fraction form
    767.16/1,059.12 = 557.12/x
  3. Step 3: Cross multiply
    767.16x = 1,059.12 × 557.12
  4. Step 4: Simplify right side
    767.16x = 590,056.93
  5. Step 5: Solve for x
    x = 590,056.93/767.16
  6. Step 6: Final answer
    x = 769.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.