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Finding the Fourth Proportional to 972.48, 1,460.16 and 845.76

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Solution

The fourth proportional to 972.48, 1,460.16 and 845.76 is: 1,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,460.16 = 845.76 : x
  2. Step 2: Convert to fraction form
    972.48/1,460.16 = 845.76/x
  3. Step 3: Cross multiply
    972.48x = 1,460.16 × 845.76
  4. Step 4: Simplify right side
    972.48x = 1,234,944.92
  5. Step 5: Solve for x
    x = 1,234,944.92/972.48
  6. Step 6: Final answer
    x = 1,269.89

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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.