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Finding the Fourth Proportional to 978.17, 1,459.67 and 874.31

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Solution

The fourth proportional to 978.17, 1,459.67 and 874.31 is: 1,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.17 : 1,459.67 = 874.31 : x
  2. Step 2: Convert to fraction form
    978.17/1,459.67 = 874.31/x
  3. Step 3: Cross multiply
    978.17x = 1,459.67 × 874.31
  4. Step 4: Simplify right side
    978.17x = 1,276,211.55
  5. Step 5: Solve for x
    x = 1,276,211.55/978.17
  6. Step 6: Final answer
    x = 1,304.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.