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Finding the Fourth Proportional to 1,098.83, 1,648.36 and 368.46

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Solution

The fourth proportional to 1,098.83, 1,648.36 and 368.46 is: 552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.83 : 1,648.36 = 368.46 : x
  2. Step 2: Convert to fraction form
    1,098.83/1,648.36 = 368.46/x
  3. Step 3: Cross multiply
    1,098.83x = 1,648.36 × 368.46
  4. Step 4: Simplify right side
    1,098.83x = 607,354.73
  5. Step 5: Solve for x
    x = 607,354.73/1,098.83
  6. Step 6: Final answer
    x = 552.73

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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.