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Finding the Fourth Proportional to 1,155.83, 1,731.92 and 896.45

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Solution

The fourth proportional to 1,155.83, 1,731.92 and 896.45 is: 1,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.83 : 1,731.92 = 896.45 : x
  2. Step 2: Convert to fraction form
    1,155.83/1,731.92 = 896.45/x
  3. Step 3: Cross multiply
    1,155.83x = 1,731.92 × 896.45
  4. Step 4: Simplify right side
    1,155.83x = 1,552,566.54
  5. Step 5: Solve for x
    x = 1,552,566.54/1,155.83
  6. Step 6: Final answer
    x = 1,343.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.