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Finding the Fourth Proportional to 767.38, 1,059.01 and 457.06

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Solution

The fourth proportional to 767.38, 1,059.01 and 457.06 is: 630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.38 : 1,059.01 = 457.06 : x
  2. Step 2: Convert to fraction form
    767.38/1,059.01 = 457.06/x
  3. Step 3: Cross multiply
    767.38x = 1,059.01 × 457.06
  4. Step 4: Simplify right side
    767.38x = 484,024.67
  5. Step 5: Solve for x
    x = 484,024.67/767.38
  6. Step 6: Final answer
    x = 630.75

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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.