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Finding the Fourth Proportional to 1,497.92, 2,245.52 and 631.76

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Solution

The fourth proportional to 1,497.92, 2,245.52 and 631.76 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.92 : 2,245.52 = 631.76 : x
  2. Step 2: Convert to fraction form
    1,497.92/2,245.52 = 631.76/x
  3. Step 3: Cross multiply
    1,497.92x = 2,245.52 × 631.76
  4. Step 4: Simplify right side
    1,497.92x = 1,418,629.72
  5. Step 5: Solve for x
    x = 1,418,629.72/1,497.92
  6. Step 6: Final answer
    x = 947.07

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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.