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Finding the Fourth Proportional to 1,110.05, 1,532.27 and 870.85

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Solution

The fourth proportional to 1,110.05, 1,532.27 and 870.85 is: 1,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.05 : 1,532.27 = 870.85 : x
  2. Step 2: Convert to fraction form
    1,110.05/1,532.27 = 870.85/x
  3. Step 3: Cross multiply
    1,110.05x = 1,532.27 × 870.85
  4. Step 4: Simplify right side
    1,110.05x = 1,334,376.52
  5. Step 5: Solve for x
    x = 1,334,376.52/1,110.05
  6. Step 6: Final answer
    x = 1,202.08

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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.