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Finding the Fourth Proportional to 1,567.87, 2,350.41 and 594.66

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Solution

The fourth proportional to 1,567.87, 2,350.41 and 594.66 is: 891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.87 : 2,350.41 = 594.66 : x
  2. Step 2: Convert to fraction form
    1,567.87/2,350.41 = 594.66/x
  3. Step 3: Cross multiply
    1,567.87x = 2,350.41 × 594.66
  4. Step 4: Simplify right side
    1,567.87x = 1,397,683.06
  5. Step 5: Solve for x
    x = 1,397,683.06/1,567.87
  6. Step 6: Final answer
    x = 891.45

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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.