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Finding the Fourth Proportional to 1,159.47, 1,601.48 and 844.24

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Solution

The fourth proportional to 1,159.47, 1,601.48 and 844.24 is: 1,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.47 : 1,601.48 = 844.24 : x
  2. Step 2: Convert to fraction form
    1,159.47/1,601.48 = 844.24/x
  3. Step 3: Cross multiply
    1,159.47x = 1,601.48 × 844.24
  4. Step 4: Simplify right side
    1,159.47x = 1,352,021.25
  5. Step 5: Solve for x
    x = 1,352,021.25/1,159.47
  6. Step 6: Final answer
    x = 1,166.07

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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.