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Finding the Fourth Proportional to 972.60, 1,459.50 and 708.56

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Solution

The fourth proportional to 972.60, 1,459.50 and 708.56 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.60 : 1,459.50 = 708.56 : x
  2. Step 2: Convert to fraction form
    972.60/1,459.50 = 708.56/x
  3. Step 3: Cross multiply
    972.60x = 1,459.50 × 708.56
  4. Step 4: Simplify right side
    972.60x = 1,034,143.32
  5. Step 5: Solve for x
    x = 1,034,143.32/972.60
  6. Step 6: Final answer
    x = 1,063.28

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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.