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Finding the Fourth Proportional to 678.03, 1,017.02 and 458.76

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Solution

The fourth proportional to 678.03, 1,017.02 and 458.76 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 1,017.02 = 458.76 : x
  2. Step 2: Convert to fraction form
    678.03/1,017.02 = 458.76/x
  3. Step 3: Cross multiply
    678.03x = 1,017.02 × 458.76
  4. Step 4: Simplify right side
    678.03x = 466,565.43
  5. Step 5: Solve for x
    x = 466,565.43/678.03
  6. Step 6: Final answer
    x = 688.12

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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.