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Finding the Fourth Proportional to 1,496.64, 2,243.48 and 675.12

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Solution

The fourth proportional to 1,496.64, 2,243.48 and 675.12 is: 1,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.64 : 2,243.48 = 675.12 : x
  2. Step 2: Convert to fraction form
    1,496.64/2,243.48 = 675.12/x
  3. Step 3: Cross multiply
    1,496.64x = 2,243.48 × 675.12
  4. Step 4: Simplify right side
    1,496.64x = 1,514,618.22
  5. Step 5: Solve for x
    x = 1,514,618.22/1,496.64
  6. Step 6: Final answer
    x = 1,012.01

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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.