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Finding the Fourth Proportional to 978.32, 1,466.78 and 458.03

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Solution

The fourth proportional to 978.32, 1,466.78 and 458.03 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.32 : 1,466.78 = 458.03 : x
  2. Step 2: Convert to fraction form
    978.32/1,466.78 = 458.03/x
  3. Step 3: Cross multiply
    978.32x = 1,466.78 × 458.03
  4. Step 4: Simplify right side
    978.32x = 671,831.91
  5. Step 5: Solve for x
    x = 671,831.91/978.32
  6. Step 6: Final answer
    x = 686.72

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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.