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Finding the Fourth Proportional to 1,117.33, 1,675.95 and 532.15

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Solution

The fourth proportional to 1,117.33, 1,675.95 and 532.15 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.33 : 1,675.95 = 532.15 : x
  2. Step 2: Convert to fraction form
    1,117.33/1,675.95 = 532.15/x
  3. Step 3: Cross multiply
    1,117.33x = 1,675.95 × 532.15
  4. Step 4: Simplify right side
    1,117.33x = 891,856.79
  5. Step 5: Solve for x
    x = 891,856.79/1,117.33
  6. Step 6: Final answer
    x = 798.20

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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.