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Finding the Fourth Proportional to 1,585.77, 2,379.33 and 545.91

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Solution

The fourth proportional to 1,585.77, 2,379.33 and 545.91 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.77 : 2,379.33 = 545.91 : x
  2. Step 2: Convert to fraction form
    1,585.77/2,379.33 = 545.91/x
  3. Step 3: Cross multiply
    1,585.77x = 2,379.33 × 545.91
  4. Step 4: Simplify right side
    1,585.77x = 1,298,900.04
  5. Step 5: Solve for x
    x = 1,298,900.04/1,585.77
  6. Step 6: Final answer
    x = 819.10

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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.