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Finding the Fourth Proportional to 1,326.24, 1,988.88 and 401.52

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Solution

The fourth proportional to 1,326.24, 1,988.88 and 401.52 is: 602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.24 : 1,988.88 = 401.52 : x
  2. Step 2: Convert to fraction form
    1,326.24/1,988.88 = 401.52/x
  3. Step 3: Cross multiply
    1,326.24x = 1,988.88 × 401.52
  4. Step 4: Simplify right side
    1,326.24x = 798,575.10
  5. Step 5: Solve for x
    x = 798,575.10/1,326.24
  6. Step 6: Final answer
    x = 602.13

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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.