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Finding the Fourth Proportional to 1,061.54, 1,592.43 and 281.54

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Solution

The fourth proportional to 1,061.54, 1,592.43 and 281.54 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.54 : 1,592.43 = 281.54 : x
  2. Step 2: Convert to fraction form
    1,061.54/1,592.43 = 281.54/x
  3. Step 3: Cross multiply
    1,061.54x = 1,592.43 × 281.54
  4. Step 4: Simplify right side
    1,061.54x = 448,335.67
  5. Step 5: Solve for x
    x = 448,335.67/1,061.54
  6. Step 6: Final answer
    x = 422.35

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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.