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Finding the Fourth Proportional to 1,102.40, 1,518.88 and 906.56

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Solution

The fourth proportional to 1,102.40, 1,518.88 and 906.56 is: 1,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.40 : 1,518.88 = 906.56 : x
  2. Step 2: Convert to fraction form
    1,102.40/1,518.88 = 906.56/x
  3. Step 3: Cross multiply
    1,102.40x = 1,518.88 × 906.56
  4. Step 4: Simplify right side
    1,102.40x = 1,376,955.85
  5. Step 5: Solve for x
    x = 1,376,955.85/1,102.40
  6. Step 6: Final answer
    x = 1,249.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.