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Finding the Fourth Proportional to 1,353.78, 1,868.31 and 822.87

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Solution

The fourth proportional to 1,353.78, 1,868.31 and 822.87 is: 1,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.78 : 1,868.31 = 822.87 : x
  2. Step 2: Convert to fraction form
    1,353.78/1,868.31 = 822.87/x
  3. Step 3: Cross multiply
    1,353.78x = 1,868.31 × 822.87
  4. Step 4: Simplify right side
    1,353.78x = 1,537,376.25
  5. Step 5: Solve for x
    x = 1,537,376.25/1,353.78
  6. Step 6: Final answer
    x = 1,135.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.