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Finding the Fourth Proportional to 973.38, 1,342.76 and 658.66

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Solution

The fourth proportional to 973.38, 1,342.76 and 658.66 is: 908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.38 : 1,342.76 = 658.66 : x
  2. Step 2: Convert to fraction form
    973.38/1,342.76 = 658.66/x
  3. Step 3: Cross multiply
    973.38x = 1,342.76 × 658.66
  4. Step 4: Simplify right side
    973.38x = 884,420.88
  5. Step 5: Solve for x
    x = 884,420.88/973.38
  6. Step 6: Final answer
    x = 908.61

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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.