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Finding the Fourth Proportional to 988.08, 1,481.66 and 577.34

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Solution

The fourth proportional to 988.08, 1,481.66 and 577.34 is: 865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.08 : 1,481.66 = 577.34 : x
  2. Step 2: Convert to fraction form
    988.08/1,481.66 = 577.34/x
  3. Step 3: Cross multiply
    988.08x = 1,481.66 × 577.34
  4. Step 4: Simplify right side
    988.08x = 855,419.01
  5. Step 5: Solve for x
    x = 855,419.01/988.08
  6. Step 6: Final answer
    x = 865.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.