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Finding the Fourth Proportional to 1,497.44, 2,246.52 and 471.44

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Solution

The fourth proportional to 1,497.44, 2,246.52 and 471.44 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.44 : 2,246.52 = 471.44 : x
  2. Step 2: Convert to fraction form
    1,497.44/2,246.52 = 471.44/x
  3. Step 3: Cross multiply
    1,497.44x = 2,246.52 × 471.44
  4. Step 4: Simplify right side
    1,497.44x = 1,059,099.39
  5. Step 5: Solve for x
    x = 1,059,099.39/1,497.44
  6. Step 6: Final answer
    x = 707.27

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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.