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Finding the Fourth Proportional to 1,535.34, 2,302.83 and 439.68

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Solution

The fourth proportional to 1,535.34, 2,302.83 and 439.68 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.34 : 2,302.83 = 439.68 : x
  2. Step 2: Convert to fraction form
    1,535.34/2,302.83 = 439.68/x
  3. Step 3: Cross multiply
    1,535.34x = 2,302.83 × 439.68
  4. Step 4: Simplify right side
    1,535.34x = 1,012,508.29
  5. Step 5: Solve for x
    x = 1,012,508.29/1,535.34
  6. Step 6: Final answer
    x = 659.47

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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.