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Finding the Fourth Proportional to 1,098.76, 1,648.07 and 277.03

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Solution

The fourth proportional to 1,098.76, 1,648.07 and 277.03 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.76 : 1,648.07 = 277.03 : x
  2. Step 2: Convert to fraction form
    1,098.76/1,648.07 = 277.03/x
  3. Step 3: Cross multiply
    1,098.76x = 1,648.07 × 277.03
  4. Step 4: Simplify right side
    1,098.76x = 456,561.40
  5. Step 5: Solve for x
    x = 456,561.40/1,098.76
  6. Step 6: Final answer
    x = 415.53

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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.