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Finding the Fourth Proportional to 972.88, 1,342.36 and 658.19

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Solution

The fourth proportional to 972.88, 1,342.36 and 658.19 is: 908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.88 : 1,342.36 = 658.19 : x
  2. Step 2: Convert to fraction form
    972.88/1,342.36 = 658.19/x
  3. Step 3: Cross multiply
    972.88x = 1,342.36 × 658.19
  4. Step 4: Simplify right side
    972.88x = 883,527.93
  5. Step 5: Solve for x
    x = 883,527.93/972.88
  6. Step 6: Final answer
    x = 908.16

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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.