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Finding the Fourth Proportional to 710.48, 1,065.76 and 197.52

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Solution

The fourth proportional to 710.48, 1,065.76 and 197.52 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.48 : 1,065.76 = 197.52 : x
  2. Step 2: Convert to fraction form
    710.48/1,065.76 = 197.52/x
  3. Step 3: Cross multiply
    710.48x = 1,065.76 × 197.52
  4. Step 4: Simplify right side
    710.48x = 210,508.92
  5. Step 5: Solve for x
    x = 210,508.92/710.48
  6. Step 6: Final answer
    x = 296.29

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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.