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Finding the Fourth Proportional to 1,159.75, 1,601.17 and 880.00

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Solution

The fourth proportional to 1,159.75, 1,601.17 and 880.00 is: 1,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.75 : 1,601.17 = 880.00 : x
  2. Step 2: Convert to fraction form
    1,159.75/1,601.17 = 880.00/x
  3. Step 3: Cross multiply
    1,159.75x = 1,601.17 × 880.00
  4. Step 4: Simplify right side
    1,159.75x = 1,409,023.40
  5. Step 5: Solve for x
    x = 1,409,023.40/1,159.75
  6. Step 6: Final answer
    x = 1,214.94

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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.