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Finding the Fourth Proportional to 1,098, 1,646.14 and 577.32

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Solution

The fourth proportional to 1,098, 1,646.14 and 577.32 is: 865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,646.14 = 577.32 : x
  2. Step 2: Convert to fraction form
    1,098/1,646.14 = 577.32/x
  3. Step 3: Cross multiply
    1,098x = 1,646.14 × 577.32
  4. Step 4: Simplify right side
    1,098x = 950,349.54
  5. Step 5: Solve for x
    x = 950,349.54/1,098
  6. Step 6: Final answer
    x = 865.53

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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.