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Finding the Fourth Proportional to 1,153.72, 1,731.39 and 577

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Solution

The fourth proportional to 1,153.72, 1,731.39 and 577 is: 865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.72 : 1,731.39 = 577 : x
  2. Step 2: Convert to fraction form
    1,153.72/1,731.39 = 577/x
  3. Step 3: Cross multiply
    1,153.72x = 1,731.39 × 577
  4. Step 4: Simplify right side
    1,153.72x = 999,012.03
  5. Step 5: Solve for x
    x = 999,012.03/1,153.72
  6. Step 6: Final answer
    x = 865.91

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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.