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Finding the Fourth Proportional to 1,099.13, 1,648.57 and 277.34

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Solution

The fourth proportional to 1,099.13, 1,648.57 and 277.34 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.13 : 1,648.57 = 277.34 : x
  2. Step 2: Convert to fraction form
    1,099.13/1,648.57 = 277.34/x
  3. Step 3: Cross multiply
    1,099.13x = 1,648.57 × 277.34
  4. Step 4: Simplify right side
    1,099.13x = 457,214.40
  5. Step 5: Solve for x
    x = 457,214.40/1,099.13
  6. Step 6: Final answer
    x = 415.98

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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.