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Finding the Fourth Proportional to 772.10, 1,065.58 and 457.47

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Solution

The fourth proportional to 772.10, 1,065.58 and 457.47 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,065.58 = 457.47 : x
  2. Step 2: Convert to fraction form
    772.10/1,065.58 = 457.47/x
  3. Step 3: Cross multiply
    772.10x = 1,065.58 × 457.47
  4. Step 4: Simplify right side
    772.10x = 487,470.88
  5. Step 5: Solve for x
    x = 487,470.88/772.10
  6. Step 6: Final answer
    x = 631.36

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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.