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Finding the Fourth Proportional to 1,627.87, 2,442.50 and 532.57

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Solution

The fourth proportional to 1,627.87, 2,442.50 and 532.57 is: 799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.87 : 2,442.50 = 532.57 : x
  2. Step 2: Convert to fraction form
    1,627.87/2,442.50 = 532.57/x
  3. Step 3: Cross multiply
    1,627.87x = 2,442.50 × 532.57
  4. Step 4: Simplify right side
    1,627.87x = 1,300,802.23
  5. Step 5: Solve for x
    x = 1,300,802.23/1,627.87
  6. Step 6: Final answer
    x = 799.08

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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.