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Finding the Fourth Proportional to 1,156.52, 1,596.22 and 659.13

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Solution

The fourth proportional to 1,156.52, 1,596.22 and 659.13 is: 909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.52 : 1,596.22 = 659.13 : x
  2. Step 2: Convert to fraction form
    1,156.52/1,596.22 = 659.13/x
  3. Step 3: Cross multiply
    1,156.52x = 1,596.22 × 659.13
  4. Step 4: Simplify right side
    1,156.52x = 1,052,116.49
  5. Step 5: Solve for x
    x = 1,052,116.49/1,156.52
  6. Step 6: Final answer
    x = 909.73

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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.