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Finding the Fourth Proportional to 1,442.48, 2,163.78 and 565.25

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Solution

The fourth proportional to 1,442.48, 2,163.78 and 565.25 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.48 : 2,163.78 = 565.25 : x
  2. Step 2: Convert to fraction form
    1,442.48/2,163.78 = 565.25/x
  3. Step 3: Cross multiply
    1,442.48x = 2,163.78 × 565.25
  4. Step 4: Simplify right side
    1,442.48x = 1,223,065.83
  5. Step 5: Solve for x
    x = 1,223,065.83/1,442.48
  6. Step 6: Final answer
    x = 847.89

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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.