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Finding the Fourth Proportional to 767.64, 1,059.03 and 534.90

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Solution

The fourth proportional to 767.64, 1,059.03 and 534.90 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.64 : 1,059.03 = 534.90 : x
  2. Step 2: Convert to fraction form
    767.64/1,059.03 = 534.90/x
  3. Step 3: Cross multiply
    767.64x = 1,059.03 × 534.90
  4. Step 4: Simplify right side
    767.64x = 566,475.15
  5. Step 5: Solve for x
    x = 566,475.15/767.64
  6. Step 6: Final answer
    x = 737.94

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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.