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Finding the Fourth Proportional to 1,160.87, 1,601.12 and 788.14

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Solution

The fourth proportional to 1,160.87, 1,601.12 and 788.14 is: 1,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.87 : 1,601.12 = 788.14 : x
  2. Step 2: Convert to fraction form
    1,160.87/1,601.12 = 788.14/x
  3. Step 3: Cross multiply
    1,160.87x = 1,601.12 × 788.14
  4. Step 4: Simplify right side
    1,160.87x = 1,261,894.77
  5. Step 5: Solve for x
    x = 1,261,894.77/1,160.87
  6. Step 6: Final answer
    x = 1,087.03

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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.