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Finding the Fourth Proportional to 1,545.63, 2,318.85 and 571.83

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Solution

The fourth proportional to 1,545.63, 2,318.85 and 571.83 is: 857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.63 : 2,318.85 = 571.83 : x
  2. Step 2: Convert to fraction form
    1,545.63/2,318.85 = 571.83/x
  3. Step 3: Cross multiply
    1,545.63x = 2,318.85 × 571.83
  4. Step 4: Simplify right side
    1,545.63x = 1,325,988.00
  5. Step 5: Solve for x
    x = 1,325,988.00/1,545.63
  6. Step 6: Final answer
    x = 857.89

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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.