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Finding the Fourth Proportional to 1,020.67, 1,534.43 and 817.47

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Solution

The fourth proportional to 1,020.67, 1,534.43 and 817.47 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.67 : 1,534.43 = 817.47 : x
  2. Step 2: Convert to fraction form
    1,020.67/1,534.43 = 817.47/x
  3. Step 3: Cross multiply
    1,020.67x = 1,534.43 × 817.47
  4. Step 4: Simplify right side
    1,020.67x = 1,254,350.49
  5. Step 5: Solve for x
    x = 1,254,350.49/1,020.67
  6. Step 6: Final answer
    x = 1,228.95

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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.