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Finding the Fourth Proportional to 1,335.24, 2,004.30 and 686.52

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Solution

The fourth proportional to 1,335.24, 2,004.30 and 686.52 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.24 : 2,004.30 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,335.24/2,004.30 = 686.52/x
  3. Step 3: Cross multiply
    1,335.24x = 2,004.30 × 686.52
  4. Step 4: Simplify right side
    1,335.24x = 1,375,992.04
  5. Step 5: Solve for x
    x = 1,375,992.04/1,335.24
  6. Step 6: Final answer
    x = 1,030.52

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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.