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Finding the Fourth Proportional to 1,165.53, 1,749.25 and 672.47

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Solution

The fourth proportional to 1,165.53, 1,749.25 and 672.47 is: 1,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.53 : 1,749.25 = 672.47 : x
  2. Step 2: Convert to fraction form
    1,165.53/1,749.25 = 672.47/x
  3. Step 3: Cross multiply
    1,165.53x = 1,749.25 × 672.47
  4. Step 4: Simplify right side
    1,165.53x = 1,176,316.80
  5. Step 5: Solve for x
    x = 1,176,316.80/1,165.53
  6. Step 6: Final answer
    x = 1,009.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.