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Finding the Fourth Proportional to 1,038.65, 1,557.97 and 822.38

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Solution

The fourth proportional to 1,038.65, 1,557.97 and 822.38 is: 1,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.65 : 1,557.97 = 822.38 : x
  2. Step 2: Convert to fraction form
    1,038.65/1,557.97 = 822.38/x
  3. Step 3: Cross multiply
    1,038.65x = 1,557.97 × 822.38
  4. Step 4: Simplify right side
    1,038.65x = 1,281,233.52
  5. Step 5: Solve for x
    x = 1,281,233.52/1,038.65
  6. Step 6: Final answer
    x = 1,233.56

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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.