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Finding the Fourth Proportional to 763.04, 1,053.17 and 631.82

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Solution

The fourth proportional to 763.04, 1,053.17 and 631.82 is: 872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,053.17 = 631.82 : x
  2. Step 2: Convert to fraction form
    763.04/1,053.17 = 631.82/x
  3. Step 3: Cross multiply
    763.04x = 1,053.17 × 631.82
  4. Step 4: Simplify right side
    763.04x = 665,415.71
  5. Step 5: Solve for x
    x = 665,415.71/763.04
  6. Step 6: Final answer
    x = 872.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.