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Finding the Fourth Proportional to 1,411.92, 2,117.62 and 534.50

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Solution

The fourth proportional to 1,411.92, 2,117.62 and 534.50 is: 801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.92 : 2,117.62 = 534.50 : x
  2. Step 2: Convert to fraction form
    1,411.92/2,117.62 = 534.50/x
  3. Step 3: Cross multiply
    1,411.92x = 2,117.62 × 534.50
  4. Step 4: Simplify right side
    1,411.92x = 1,131,867.89
  5. Step 5: Solve for x
    x = 1,131,867.89/1,411.92
  6. Step 6: Final answer
    x = 801.65

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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.