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Finding the Fourth Proportional to 978.38, 1,464.98 and 686.24

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Solution

The fourth proportional to 978.38, 1,464.98 and 686.24 is: 1,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.38 : 1,464.98 = 686.24 : x
  2. Step 2: Convert to fraction form
    978.38/1,464.98 = 686.24/x
  3. Step 3: Cross multiply
    978.38x = 1,464.98 × 686.24
  4. Step 4: Simplify right side
    978.38x = 1,005,317.12
  5. Step 5: Solve for x
    x = 1,005,317.12/978.38
  6. Step 6: Final answer
    x = 1,027.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.