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Finding the Fourth Proportional to 1,353.76, 2,030.64 and 488.14

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Solution

The fourth proportional to 1,353.76, 2,030.64 and 488.14 is: 732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.76 : 2,030.64 = 488.14 : x
  2. Step 2: Convert to fraction form
    1,353.76/2,030.64 = 488.14/x
  3. Step 3: Cross multiply
    1,353.76x = 2,030.64 × 488.14
  4. Step 4: Simplify right side
    1,353.76x = 991,236.61
  5. Step 5: Solve for x
    x = 991,236.61/1,353.76
  6. Step 6: Final answer
    x = 732.21

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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.