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Finding the Fourth Proportional to 1,325.58, 1,988.64 and 401.14

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Solution

The fourth proportional to 1,325.58, 1,988.64 and 401.14 is: 601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.58 : 1,988.64 = 401.14 : x
  2. Step 2: Convert to fraction form
    1,325.58/1,988.64 = 401.14/x
  3. Step 3: Cross multiply
    1,325.58x = 1,988.64 × 401.14
  4. Step 4: Simplify right side
    1,325.58x = 797,723.05
  5. Step 5: Solve for x
    x = 797,723.05/1,325.58
  6. Step 6: Final answer
    x = 601.79

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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.