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Finding the Fourth Proportional to 924.24, 1,276.12 and 714.08

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Solution

The fourth proportional to 924.24, 1,276.12 and 714.08 is: 985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,276.12 = 714.08 : x
  2. Step 2: Convert to fraction form
    924.24/1,276.12 = 714.08/x
  3. Step 3: Cross multiply
    924.24x = 1,276.12 × 714.08
  4. Step 4: Simplify right side
    924.24x = 911,251.77
  5. Step 5: Solve for x
    x = 911,251.77/924.24
  6. Step 6: Final answer
    x = 985.95

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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.