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Finding the Fourth Proportional to 1,255.58, 1,882.74 and 524.96

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Solution

The fourth proportional to 1,255.58, 1,882.74 and 524.96 is: 787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.58 : 1,882.74 = 524.96 : x
  2. Step 2: Convert to fraction form
    1,255.58/1,882.74 = 524.96/x
  3. Step 3: Cross multiply
    1,255.58x = 1,882.74 × 524.96
  4. Step 4: Simplify right side
    1,255.58x = 988,363.19
  5. Step 5: Solve for x
    x = 988,363.19/1,255.58
  6. Step 6: Final answer
    x = 787.18

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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.