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Finding the Fourth Proportional to 987.44, 1,362.67 and 545.34

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Solution

The fourth proportional to 987.44, 1,362.67 and 545.34 is: 752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.44 : 1,362.67 = 545.34 : x
  2. Step 2: Convert to fraction form
    987.44/1,362.67 = 545.34/x
  3. Step 3: Cross multiply
    987.44x = 1,362.67 × 545.34
  4. Step 4: Simplify right side
    987.44x = 743,118.46
  5. Step 5: Solve for x
    x = 743,118.46/987.44
  6. Step 6: Final answer
    x = 752.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.