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Finding the Fourth Proportional to 1,159.32, 1,599.86 and 662.11

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Solution

The fourth proportional to 1,159.32, 1,599.86 and 662.11 is: 913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.32 : 1,599.86 = 662.11 : x
  2. Step 2: Convert to fraction form
    1,159.32/1,599.86 = 662.11/x
  3. Step 3: Cross multiply
    1,159.32x = 1,599.86 × 662.11
  4. Step 4: Simplify right side
    1,159.32x = 1,059,283.30
  5. Step 5: Solve for x
    x = 1,059,283.30/1,159.32
  6. Step 6: Final answer
    x = 913.71

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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.