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Finding the Fourth Proportional to 1,535.87, 2,302.20 and 713.46

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Solution

The fourth proportional to 1,535.87, 2,302.20 and 713.46 is: 1,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.87 : 2,302.20 = 713.46 : x
  2. Step 2: Convert to fraction form
    1,535.87/2,302.20 = 713.46/x
  3. Step 3: Cross multiply
    1,535.87x = 2,302.20 × 713.46
  4. Step 4: Simplify right side
    1,535.87x = 1,642,527.61
  5. Step 5: Solve for x
    x = 1,642,527.61/1,535.87
  6. Step 6: Final answer
    x = 1,069.44

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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.