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Finding the Fourth Proportional to 1,098.86, 1,648.25 and 277.12

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Solution

The fourth proportional to 1,098.86, 1,648.25 and 277.12 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.86 : 1,648.25 = 277.12 : x
  2. Step 2: Convert to fraction form
    1,098.86/1,648.25 = 277.12/x
  3. Step 3: Cross multiply
    1,098.86x = 1,648.25 × 277.12
  4. Step 4: Simplify right side
    1,098.86x = 456,766.47
  5. Step 5: Solve for x
    x = 456,766.47/1,098.86
  6. Step 6: Final answer
    x = 415.67

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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.