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Finding the Fourth Proportional to 1,281.18, 1,920.49 and 500.11

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Solution

The fourth proportional to 1,281.18, 1,920.49 and 500.11 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.18 : 1,920.49 = 500.11 : x
  2. Step 2: Convert to fraction form
    1,281.18/1,920.49 = 500.11/x
  3. Step 3: Cross multiply
    1,281.18x = 1,920.49 × 500.11
  4. Step 4: Simplify right side
    1,281.18x = 960,452.08
  5. Step 5: Solve for x
    x = 960,452.08/1,281.18
  6. Step 6: Final answer
    x = 749.66

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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.