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Finding the Fourth Proportional to 1,353.90, 2,030.86 and 488.02

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Solution

The fourth proportional to 1,353.90, 2,030.86 and 488.02 is: 732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.90 : 2,030.86 = 488.02 : x
  2. Step 2: Convert to fraction form
    1,353.90/2,030.86 = 488.02/x
  3. Step 3: Cross multiply
    1,353.90x = 2,030.86 × 488.02
  4. Step 4: Simplify right side
    1,353.90x = 991,100.30
  5. Step 5: Solve for x
    x = 991,100.30/1,353.90
  6. Step 6: Final answer
    x = 732.03

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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.