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Finding the Fourth Proportional to 1,156.73, 1,596.65 and 1,097.96

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Solution

The fourth proportional to 1,156.73, 1,596.65 and 1,097.96 is: 1,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.73 : 1,596.65 = 1,097.96 : x
  2. Step 2: Convert to fraction form
    1,156.73/1,596.65 = 1,097.96/x
  3. Step 3: Cross multiply
    1,156.73x = 1,596.65 × 1,097.96
  4. Step 4: Simplify right side
    1,156.73x = 1,753,044.36
  5. Step 5: Solve for x
    x = 1,753,044.36/1,156.73
  6. Step 6: Final answer
    x = 1,515.52

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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.