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Finding the Fourth Proportional to 1,353.81, 2,030.31 and 488.19

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Solution

The fourth proportional to 1,353.81, 2,030.31 and 488.19 is: 732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.81 : 2,030.31 = 488.19 : x
  2. Step 2: Convert to fraction form
    1,353.81/2,030.31 = 488.19/x
  3. Step 3: Cross multiply
    1,353.81x = 2,030.31 × 488.19
  4. Step 4: Simplify right side
    1,353.81x = 991,177.04
  5. Step 5: Solve for x
    x = 991,177.04/1,353.81
  6. Step 6: Final answer
    x = 732.14

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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.