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Finding the Fourth Proportional to 1,155.76, 1,594.86 and 713.65

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Solution

The fourth proportional to 1,155.76, 1,594.86 and 713.65 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.76 : 1,594.86 = 713.65 : x
  2. Step 2: Convert to fraction form
    1,155.76/1,594.86 = 713.65/x
  3. Step 3: Cross multiply
    1,155.76x = 1,594.86 × 713.65
  4. Step 4: Simplify right side
    1,155.76x = 1,138,171.84
  5. Step 5: Solve for x
    x = 1,138,171.84/1,155.76
  6. Step 6: Final answer
    x = 984.78

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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.