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Finding the Fourth Proportional to 924.29, 1,276.12 and 714.10

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Solution

The fourth proportional to 924.29, 1,276.12 and 714.10 is: 985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.29 : 1,276.12 = 714.10 : x
  2. Step 2: Convert to fraction form
    924.29/1,276.12 = 714.10/x
  3. Step 3: Cross multiply
    924.29x = 1,276.12 × 714.10
  4. Step 4: Simplify right side
    924.29x = 911,277.29
  5. Step 5: Solve for x
    x = 911,277.29/924.29
  6. Step 6: Final answer
    x = 985.92

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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.