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Finding the Fourth Proportional to 1,159.45, 1,599.46 and 760.93

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Solution

The fourth proportional to 1,159.45, 1,599.46 and 760.93 is: 1,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.45 : 1,599.46 = 760.93 : x
  2. Step 2: Convert to fraction form
    1,159.45/1,599.46 = 760.93/x
  3. Step 3: Cross multiply
    1,159.45x = 1,599.46 × 760.93
  4. Step 4: Simplify right side
    1,159.45x = 1,217,077.10
  5. Step 5: Solve for x
    x = 1,217,077.10/1,159.45
  6. Step 6: Final answer
    x = 1,049.70

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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.