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Finding the Fourth Proportional to 1,049.49, 1,449.16 and 714.10

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Solution

The fourth proportional to 1,049.49, 1,449.16 and 714.10 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.49 : 1,449.16 = 714.10 : x
  2. Step 2: Convert to fraction form
    1,049.49/1,449.16 = 714.10/x
  3. Step 3: Cross multiply
    1,049.49x = 1,449.16 × 714.10
  4. Step 4: Simplify right side
    1,049.49x = 1,034,842.47
  5. Step 5: Solve for x
    x = 1,034,842.47/1,049.49
  6. Step 6: Final answer
    x = 986.04

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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.