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Finding the Fourth Proportional to 1,417.68, 1,956.36 and 828.24

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Solution

The fourth proportional to 1,417.68, 1,956.36 and 828.24 is: 1,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.68 : 1,956.36 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,417.68/1,956.36 = 828.24/x
  3. Step 3: Cross multiply
    1,417.68x = 1,956.36 × 828.24
  4. Step 4: Simplify right side
    1,417.68x = 1,620,335.61
  5. Step 5: Solve for x
    x = 1,620,335.61/1,417.68
  6. Step 6: Final answer
    x = 1,142.95

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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.