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Finding the Fourth Proportional to 1,586.69, 2,381.11 and 560.69

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Solution

The fourth proportional to 1,586.69, 2,381.11 and 560.69 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.69 : 2,381.11 = 560.69 : x
  2. Step 2: Convert to fraction form
    1,586.69/2,381.11 = 560.69/x
  3. Step 3: Cross multiply
    1,586.69x = 2,381.11 × 560.69
  4. Step 4: Simplify right side
    1,586.69x = 1,335,064.57
  5. Step 5: Solve for x
    x = 1,335,064.57/1,586.69
  6. Step 6: Final answer
    x = 841.41

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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.