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Finding the Fourth Proportional to 1,540.01, 2,309.99 and 565.89

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Solution

The fourth proportional to 1,540.01, 2,309.99 and 565.89 is: 848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.01 : 2,309.99 = 565.89 : x
  2. Step 2: Convert to fraction form
    1,540.01/2,309.99 = 565.89/x
  3. Step 3: Cross multiply
    1,540.01x = 2,309.99 × 565.89
  4. Step 4: Simplify right side
    1,540.01x = 1,307,188.75
  5. Step 5: Solve for x
    x = 1,307,188.75/1,540.01
  6. Step 6: Final answer
    x = 848.82

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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.