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Finding the Fourth Proportional to 1,302.52, 1,797.42 and 713.08

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Solution

The fourth proportional to 1,302.52, 1,797.42 and 713.08 is: 984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.52 : 1,797.42 = 713.08 : x
  2. Step 2: Convert to fraction form
    1,302.52/1,797.42 = 713.08/x
  3. Step 3: Cross multiply
    1,302.52x = 1,797.42 × 713.08
  4. Step 4: Simplify right side
    1,302.52x = 1,281,704.25
  5. Step 5: Solve for x
    x = 1,281,704.25/1,302.52
  6. Step 6: Final answer
    x = 984.02

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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.