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Finding the Fourth Proportional to 1,409.78, 2,114.33 and 532.37

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Solution

The fourth proportional to 1,409.78, 2,114.33 and 532.37 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.78 : 2,114.33 = 532.37 : x
  2. Step 2: Convert to fraction form
    1,409.78/2,114.33 = 532.37/x
  3. Step 3: Cross multiply
    1,409.78x = 2,114.33 × 532.37
  4. Step 4: Simplify right side
    1,409.78x = 1,125,605.86
  5. Step 5: Solve for x
    x = 1,125,605.86/1,409.78
  6. Step 6: Final answer
    x = 798.43

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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.