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Finding the Fourth Proportional to 772.32, 1,065.54 and 457.49

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Solution

The fourth proportional to 772.32, 1,065.54 and 457.49 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,065.54 = 457.49 : x
  2. Step 2: Convert to fraction form
    772.32/1,065.54 = 457.49/x
  3. Step 3: Cross multiply
    772.32x = 1,065.54 × 457.49
  4. Step 4: Simplify right side
    772.32x = 487,468.57
  5. Step 5: Solve for x
    x = 487,468.57/772.32
  6. Step 6: Final answer
    x = 631.17

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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.