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Finding the Fourth Proportional to 710.52, 1,065.84 and 299.92

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Solution

The fourth proportional to 710.52, 1,065.84 and 299.92 is: 449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.52 : 1,065.84 = 299.92 : x
  2. Step 2: Convert to fraction form
    710.52/1,065.84 = 299.92/x
  3. Step 3: Cross multiply
    710.52x = 1,065.84 × 299.92
  4. Step 4: Simplify right side
    710.52x = 319,666.73
  5. Step 5: Solve for x
    x = 319,666.73/710.52
  6. Step 6: Final answer
    x = 449.91

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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.