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Finding the Fourth Proportional to 742.02, 1,023.68 and 458.34

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Solution

The fourth proportional to 742.02, 1,023.68 and 458.34 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.02 : 1,023.68 = 458.34 : x
  2. Step 2: Convert to fraction form
    742.02/1,023.68 = 458.34/x
  3. Step 3: Cross multiply
    742.02x = 1,023.68 × 458.34
  4. Step 4: Simplify right side
    742.02x = 469,193.49
  5. Step 5: Solve for x
    x = 469,193.49/742.02
  6. Step 6: Final answer
    x = 632.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.