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Finding the Fourth Proportional to 1,156.32, 1,596.89 and 736.86

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Solution

The fourth proportional to 1,156.32, 1,596.89 and 736.86 is: 1,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.32 : 1,596.89 = 736.86 : x
  2. Step 2: Convert to fraction form
    1,156.32/1,596.89 = 736.86/x
  3. Step 3: Cross multiply
    1,156.32x = 1,596.89 × 736.86
  4. Step 4: Simplify right side
    1,156.32x = 1,176,684.37
  5. Step 5: Solve for x
    x = 1,176,684.37/1,156.32
  6. Step 6: Final answer
    x = 1,017.61

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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.