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Finding the Fourth Proportional to 1,159.68, 1,600.80 and 896.64

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Solution

The fourth proportional to 1,159.68, 1,600.80 and 896.64 is: 1,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.68 : 1,600.80 = 896.64 : x
  2. Step 2: Convert to fraction form
    1,159.68/1,600.80 = 896.64/x
  3. Step 3: Cross multiply
    1,159.68x = 1,600.80 × 896.64
  4. Step 4: Simplify right side
    1,159.68x = 1,435,341.31
  5. Step 5: Solve for x
    x = 1,435,341.31/1,159.68
  6. Step 6: Final answer
    x = 1,237.70

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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.