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Finding the Fourth Proportional to 973.17, 1,342.71 and 658.44

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Solution

The fourth proportional to 973.17, 1,342.71 and 658.44 is: 908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.17 : 1,342.71 = 658.44 : x
  2. Step 2: Convert to fraction form
    973.17/1,342.71 = 658.44/x
  3. Step 3: Cross multiply
    973.17x = 1,342.71 × 658.44
  4. Step 4: Simplify right side
    973.17x = 884,093.97
  5. Step 5: Solve for x
    x = 884,093.97/973.17
  6. Step 6: Final answer
    x = 908.47

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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.