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Finding the Fourth Proportional to 1,155.27, 1,594.34 and 713.18

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Solution

The fourth proportional to 1,155.27, 1,594.34 and 713.18 is: 984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.27 : 1,594.34 = 713.18 : x
  2. Step 2: Convert to fraction form
    1,155.27/1,594.34 = 713.18/x
  3. Step 3: Cross multiply
    1,155.27x = 1,594.34 × 713.18
  4. Step 4: Simplify right side
    1,155.27x = 1,137,057.17
  5. Step 5: Solve for x
    x = 1,137,057.17/1,155.27
  6. Step 6: Final answer
    x = 984.24

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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.