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Finding the Fourth Proportional to 1,005.22, 1,506.15 and 658.12

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Solution

The fourth proportional to 1,005.22, 1,506.15 and 658.12 is: 986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.22 : 1,506.15 = 658.12 : x
  2. Step 2: Convert to fraction form
    1,005.22/1,506.15 = 658.12/x
  3. Step 3: Cross multiply
    1,005.22x = 1,506.15 × 658.12
  4. Step 4: Simplify right side
    1,005.22x = 991,227.44
  5. Step 5: Solve for x
    x = 991,227.44/1,005.22
  6. Step 6: Final answer
    x = 986.08

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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.