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Finding the Fourth Proportional to 988.17, 1,363.50 and 562.82

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Solution

The fourth proportional to 988.17, 1,363.50 and 562.82 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.17 : 1,363.50 = 562.82 : x
  2. Step 2: Convert to fraction form
    988.17/1,363.50 = 562.82/x
  3. Step 3: Cross multiply
    988.17x = 1,363.50 × 562.82
  4. Step 4: Simplify right side
    988.17x = 767,398.25
  5. Step 5: Solve for x
    x = 767,398.25/988.17
  6. Step 6: Final answer
    x = 776.59

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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.