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Finding the Fourth Proportional to 1,156.62, 1,594.26 and 713.55

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Solution

The fourth proportional to 1,156.62, 1,594.26 and 713.55 is: 983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.62 : 1,594.26 = 713.55 : x
  2. Step 2: Convert to fraction form
    1,156.62/1,594.26 = 713.55/x
  3. Step 3: Cross multiply
    1,156.62x = 1,594.26 × 713.55
  4. Step 4: Simplify right side
    1,156.62x = 1,137,584.22
  5. Step 5: Solve for x
    x = 1,137,584.22/1,156.62
  6. Step 6: Final answer
    x = 983.54

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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.