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Finding the Fourth Proportional to 1,159.46, 1,600.62 and 767.12

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Solution

The fourth proportional to 1,159.46, 1,600.62 and 767.12 is: 1,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.46 : 1,600.62 = 767.12 : x
  2. Step 2: Convert to fraction form
    1,159.46/1,600.62 = 767.12/x
  3. Step 3: Cross multiply
    1,159.46x = 1,600.62 × 767.12
  4. Step 4: Simplify right side
    1,159.46x = 1,227,867.61
  5. Step 5: Solve for x
    x = 1,227,867.61/1,159.46
  6. Step 6: Final answer
    x = 1,059.00

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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.