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Finding the Fourth Proportional to 1,496.25, 2,065.07 and 875.13

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Solution

The fourth proportional to 1,496.25, 2,065.07 and 875.13 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.25 : 2,065.07 = 875.13 : x
  2. Step 2: Convert to fraction form
    1,496.25/2,065.07 = 875.13/x
  3. Step 3: Cross multiply
    1,496.25x = 2,065.07 × 875.13
  4. Step 4: Simplify right side
    1,496.25x = 1,807,200.33
  5. Step 5: Solve for x
    x = 1,807,200.33/1,496.25
  6. Step 6: Final answer
    x = 1,207.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.