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Finding the Fourth Proportional to 1,049.19, 1,572.69 and 586.29

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Solution

The fourth proportional to 1,049.19, 1,572.69 and 586.29 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.19 : 1,572.69 = 586.29 : x
  2. Step 2: Convert to fraction form
    1,049.19/1,572.69 = 586.29/x
  3. Step 3: Cross multiply
    1,049.19x = 1,572.69 × 586.29
  4. Step 4: Simplify right side
    1,049.19x = 922,052.42
  5. Step 5: Solve for x
    x = 922,052.42/1,049.19
  6. Step 6: Final answer
    x = 878.82

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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.