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Finding the Fourth Proportional to 772.04, 1,065.49 and 457.31

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Solution

The fourth proportional to 772.04, 1,065.49 and 457.31 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,065.49 = 457.31 : x
  2. Step 2: Convert to fraction form
    772.04/1,065.49 = 457.31/x
  3. Step 3: Cross multiply
    772.04x = 1,065.49 × 457.31
  4. Step 4: Simplify right side
    772.04x = 487,260.75
  5. Step 5: Solve for x
    x = 487,260.75/772.04
  6. Step 6: Final answer
    x = 631.13

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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.