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Finding the Fourth Proportional to 1,049.01, 1,572.93 and 355.29

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Solution

The fourth proportional to 1,049.01, 1,572.93 and 355.29 is: 532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.01 : 1,572.93 = 355.29 : x
  2. Step 2: Convert to fraction form
    1,049.01/1,572.93 = 355.29/x
  3. Step 3: Cross multiply
    1,049.01x = 1,572.93 × 355.29
  4. Step 4: Simplify right side
    1,049.01x = 558,846.30
  5. Step 5: Solve for x
    x = 558,846.30/1,049.01
  6. Step 6: Final answer
    x = 532.74

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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.