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Finding the Fourth Proportional to 1,156.86, 1,596.49 and 632.88

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Solution

The fourth proportional to 1,156.86, 1,596.49 and 632.88 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.86 : 1,596.49 = 632.88 : x
  2. Step 2: Convert to fraction form
    1,156.86/1,596.49 = 632.88/x
  3. Step 3: Cross multiply
    1,156.86x = 1,596.49 × 632.88
  4. Step 4: Simplify right side
    1,156.86x = 1,010,385.01
  5. Step 5: Solve for x
    x = 1,010,385.01/1,156.86
  6. Step 6: Final answer
    x = 873.39

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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.