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Finding the Fourth Proportional to 1,409.10, 2,114.02 and 531.61

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Solution

The fourth proportional to 1,409.10, 2,114.02 and 531.61 is: 797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.10 : 2,114.02 = 531.61 : x
  2. Step 2: Convert to fraction form
    1,409.10/2,114.02 = 531.61/x
  3. Step 3: Cross multiply
    1,409.10x = 2,114.02 × 531.61
  4. Step 4: Simplify right side
    1,409.10x = 1,123,834.17
  5. Step 5: Solve for x
    x = 1,123,834.17/1,409.10
  6. Step 6: Final answer
    x = 797.55

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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.