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Finding the Fourth Proportional to 1,534.83, 2,302.32 and 439.36

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Solution

The fourth proportional to 1,534.83, 2,302.32 and 439.36 is: 659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.83 : 2,302.32 = 439.36 : x
  2. Step 2: Convert to fraction form
    1,534.83/2,302.32 = 439.36/x
  3. Step 3: Cross multiply
    1,534.83x = 2,302.32 × 439.36
  4. Step 4: Simplify right side
    1,534.83x = 1,011,535.80
  5. Step 5: Solve for x
    x = 1,011,535.80/1,534.83
  6. Step 6: Final answer
    x = 659.06

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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.