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Finding the Fourth Proportional to 978.85, 1,466.52 and 458.02

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Solution

The fourth proportional to 978.85, 1,466.52 and 458.02 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.85 : 1,466.52 = 458.02 : x
  2. Step 2: Convert to fraction form
    978.85/1,466.52 = 458.02/x
  3. Step 3: Cross multiply
    978.85x = 1,466.52 × 458.02
  4. Step 4: Simplify right side
    978.85x = 671,695.49
  5. Step 5: Solve for x
    x = 671,695.49/978.85
  6. Step 6: Final answer
    x = 686.21

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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.