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Finding the Fourth Proportional to 988.48, 1,363.47 and 595.13

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Solution

The fourth proportional to 988.48, 1,363.47 and 595.13 is: 820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.48 : 1,363.47 = 595.13 : x
  2. Step 2: Convert to fraction form
    988.48/1,363.47 = 595.13/x
  3. Step 3: Cross multiply
    988.48x = 1,363.47 × 595.13
  4. Step 4: Simplify right side
    988.48x = 811,432.85
  5. Step 5: Solve for x
    x = 811,432.85/988.48
  6. Step 6: Final answer
    x = 820.89

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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.