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Finding the Fourth Proportional to 1,023.10, 1,534.65 and 658.30

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Solution

The fourth proportional to 1,023.10, 1,534.65 and 658.30 is: 987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.10 : 1,534.65 = 658.30 : x
  2. Step 2: Convert to fraction form
    1,023.10/1,534.65 = 658.30/x
  3. Step 3: Cross multiply
    1,023.10x = 1,534.65 × 658.30
  4. Step 4: Simplify right side
    1,023.10x = 1,010,260.10
  5. Step 5: Solve for x
    x = 1,010,260.10/1,023.10
  6. Step 6: Final answer
    x = 987.45

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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.