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Finding the Fourth Proportional to 968.78, 1,454.10 and 421.14

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Solution

The fourth proportional to 968.78, 1,454.10 and 421.14 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.78 : 1,454.10 = 421.14 : x
  2. Step 2: Convert to fraction form
    968.78/1,454.10 = 421.14/x
  3. Step 3: Cross multiply
    968.78x = 1,454.10 × 421.14
  4. Step 4: Simplify right side
    968.78x = 612,379.67
  5. Step 5: Solve for x
    x = 612,379.67/968.78
  6. Step 6: Final answer
    x = 632.11

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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.