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Finding the Fourth Proportional to 972.91, 1,460.24 and 659.80

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Solution

The fourth proportional to 972.91, 1,460.24 and 659.80 is: 990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,460.24 = 659.80 : x
  2. Step 2: Convert to fraction form
    972.91/1,460.24 = 659.80/x
  3. Step 3: Cross multiply
    972.91x = 1,460.24 × 659.80
  4. Step 4: Simplify right side
    972.91x = 963,455.75
  5. Step 5: Solve for x
    x = 963,455.75/972.91
  6. Step 6: Final answer
    x = 990.29

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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.