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Finding the Fourth Proportional to 1,326.20, 1,987.20 and 709.10

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Solution

The fourth proportional to 1,326.20, 1,987.20 and 709.10 is: 1,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.20 : 1,987.20 = 709.10 : x
  2. Step 2: Convert to fraction form
    1,326.20/1,987.20 = 709.10/x
  3. Step 3: Cross multiply
    1,326.20x = 1,987.20 × 709.10
  4. Step 4: Simplify right side
    1,326.20x = 1,409,123.52
  5. Step 5: Solve for x
    x = 1,409,123.52/1,326.20
  6. Step 6: Final answer
    x = 1,062.53

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