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Finding the Fourth Proportional to 1,160.52, 1,601.58 and 712.44

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Solution

The fourth proportional to 1,160.52, 1,601.58 and 712.44 is: 983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.52 : 1,601.58 = 712.44 : x
  2. Step 2: Convert to fraction form
    1,160.52/1,601.58 = 712.44/x
  3. Step 3: Cross multiply
    1,160.52x = 1,601.58 × 712.44
  4. Step 4: Simplify right side
    1,160.52x = 1,141,021.65
  5. Step 5: Solve for x
    x = 1,141,021.65/1,160.52
  6. Step 6: Final answer
    x = 983.20

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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.