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Finding the Fourth Proportional to 1,411.18, 2,116.07 and 533

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Solution

The fourth proportional to 1,411.18, 2,116.07 and 533 is: 799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.18 : 2,116.07 = 533 : x
  2. Step 2: Convert to fraction form
    1,411.18/2,116.07 = 533/x
  3. Step 3: Cross multiply
    1,411.18x = 2,116.07 × 533
  4. Step 4: Simplify right side
    1,411.18x = 1,127,865.31
  5. Step 5: Solve for x
    x = 1,127,865.31/1,411.18
  6. Step 6: Final answer
    x = 799.24

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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.