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Finding the Fourth Proportional to 1,247.68, 1,721.36 and 828.24

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Solution

The fourth proportional to 1,247.68, 1,721.36 and 828.24 is: 1,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.68 : 1,721.36 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,247.68/1,721.36 = 828.24/x
  3. Step 3: Cross multiply
    1,247.68x = 1,721.36 × 828.24
  4. Step 4: Simplify right side
    1,247.68x = 1,425,699.21
  5. Step 5: Solve for x
    x = 1,425,699.21/1,247.68
  6. Step 6: Final answer
    x = 1,142.68

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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.