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Finding the Fourth Proportional to 1,101.18, 1,650.84 and 442.65

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Solution

The fourth proportional to 1,101.18, 1,650.84 and 442.65 is: 663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.18 : 1,650.84 = 442.65 : x
  2. Step 2: Convert to fraction form
    1,101.18/1,650.84 = 442.65/x
  3. Step 3: Cross multiply
    1,101.18x = 1,650.84 × 442.65
  4. Step 4: Simplify right side
    1,101.18x = 730,744.33
  5. Step 5: Solve for x
    x = 730,744.33/1,101.18
  6. Step 6: Final answer
    x = 663.60

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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.