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Finding the Fourth Proportional to 1,339.07, 2,008.33 and 461.52

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Solution

The fourth proportional to 1,339.07, 2,008.33 and 461.52 is: 692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.07 : 2,008.33 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,339.07/2,008.33 = 461.52/x
  3. Step 3: Cross multiply
    1,339.07x = 2,008.33 × 461.52
  4. Step 4: Simplify right side
    1,339.07x = 926,883.31
  5. Step 5: Solve for x
    x = 926,883.31/1,339.07
  6. Step 6: Final answer
    x = 692.19

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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.