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Finding the Fourth Proportional to 988.23, 1,363.76 and 540.10

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Solution

The fourth proportional to 988.23, 1,363.76 and 540.10 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.23 : 1,363.76 = 540.10 : x
  2. Step 2: Convert to fraction form
    988.23/1,363.76 = 540.10/x
  3. Step 3: Cross multiply
    988.23x = 1,363.76 × 540.10
  4. Step 4: Simplify right side
    988.23x = 736,566.78
  5. Step 5: Solve for x
    x = 736,566.78/988.23
  6. Step 6: Final answer
    x = 745.34

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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.