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Finding the Fourth Proportional to 988.16, 1,362.98 and 801.66

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Solution

The fourth proportional to 988.16, 1,362.98 and 801.66 is: 1,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.16 : 1,362.98 = 801.66 : x
  2. Step 2: Convert to fraction form
    988.16/1,362.98 = 801.66/x
  3. Step 3: Cross multiply
    988.16x = 1,362.98 × 801.66
  4. Step 4: Simplify right side
    988.16x = 1,092,646.55
  5. Step 5: Solve for x
    x = 1,092,646.55/988.16
  6. Step 6: Final answer
    x = 1,105.74

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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.