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Finding the Fourth Proportional to 972.57, 1,342.63 and 659.49

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Solution

The fourth proportional to 972.57, 1,342.63 and 659.49 is: 910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.57 : 1,342.63 = 659.49 : x
  2. Step 2: Convert to fraction form
    972.57/1,342.63 = 659.49/x
  3. Step 3: Cross multiply
    972.57x = 1,342.63 × 659.49
  4. Step 4: Simplify right side
    972.57x = 885,451.06
  5. Step 5: Solve for x
    x = 885,451.06/972.57
  6. Step 6: Final answer
    x = 910.42

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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.