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Finding the Fourth Proportional to 1,731.88, 2,596.38 and 577

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Solution

The fourth proportional to 1,731.88, 2,596.38 and 577 is: 865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.88 : 2,596.38 = 577 : x
  2. Step 2: Convert to fraction form
    1,731.88/2,596.38 = 577/x
  3. Step 3: Cross multiply
    1,731.88x = 2,596.38 × 577
  4. Step 4: Simplify right side
    1,731.88x = 1,498,111.26
  5. Step 5: Solve for x
    x = 1,498,111.26/1,731.88
  6. Step 6: Final answer
    x = 865.02

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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.