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Finding the Fourth Proportional to 1,569.26, 2,352.02 and 594.42

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Solution

The fourth proportional to 1,569.26, 2,352.02 and 594.42 is: 890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.26 : 2,352.02 = 594.42 : x
  2. Step 2: Convert to fraction form
    1,569.26/2,352.02 = 594.42/x
  3. Step 3: Cross multiply
    1,569.26x = 2,352.02 × 594.42
  4. Step 4: Simplify right side
    1,569.26x = 1,398,087.73
  5. Step 5: Solve for x
    x = 1,398,087.73/1,569.26
  6. Step 6: Final answer
    x = 890.92

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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.