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Finding the Fourth Proportional to 1,567.97, 2,352.26 and 594.75

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Solution

The fourth proportional to 1,567.97, 2,352.26 and 594.75 is: 892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.97 : 2,352.26 = 594.75 : x
  2. Step 2: Convert to fraction form
    1,567.97/2,352.26 = 594.75/x
  3. Step 3: Cross multiply
    1,567.97x = 2,352.26 × 594.75
  4. Step 4: Simplify right side
    1,567.97x = 1,399,006.64
  5. Step 5: Solve for x
    x = 1,399,006.64/1,567.97
  6. Step 6: Final answer
    x = 892.24

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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.