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Finding the Fourth Proportional to 1,038.67, 1,557.46 and 490.71

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Solution

The fourth proportional to 1,038.67, 1,557.46 and 490.71 is: 735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.67 : 1,557.46 = 490.71 : x
  2. Step 2: Convert to fraction form
    1,038.67/1,557.46 = 490.71/x
  3. Step 3: Cross multiply
    1,038.67x = 1,557.46 × 490.71
  4. Step 4: Simplify right side
    1,038.67x = 764,261.20
  5. Step 5: Solve for x
    x = 764,261.20/1,038.67
  6. Step 6: Final answer
    x = 735.81

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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.