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Finding the Fourth Proportional to 1,254.87, 1,882.32 and 824.76

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Solution

The fourth proportional to 1,254.87, 1,882.32 and 824.76 is: 1,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.87 : 1,882.32 = 824.76 : x
  2. Step 2: Convert to fraction form
    1,254.87/1,882.32 = 824.76/x
  3. Step 3: Cross multiply
    1,254.87x = 1,882.32 × 824.76
  4. Step 4: Simplify right side
    1,254.87x = 1,552,462.24
  5. Step 5: Solve for x
    x = 1,552,462.24/1,254.87
  6. Step 6: Final answer
    x = 1,237.15

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1.5x scale

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.