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Finding the Fourth Proportional to 1,215.91, 1,824.46 and 753.57

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Solution

The fourth proportional to 1,215.91, 1,824.46 and 753.57 is: 1,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.91 : 1,824.46 = 753.57 : x
  2. Step 2: Convert to fraction form
    1,215.91/1,824.46 = 753.57/x
  3. Step 3: Cross multiply
    1,215.91x = 1,824.46 × 753.57
  4. Step 4: Simplify right side
    1,215.91x = 1,374,851.92
  5. Step 5: Solve for x
    x = 1,374,851.92/1,215.91
  6. Step 6: Final answer
    x = 1,130.72

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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.