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Finding the Fourth Proportional to 1,583.76, 2,375.82 and 488.40

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Solution

The fourth proportional to 1,583.76, 2,375.82 and 488.40 is: 732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.76 : 2,375.82 = 488.40 : x
  2. Step 2: Convert to fraction form
    1,583.76/2,375.82 = 488.40/x
  3. Step 3: Cross multiply
    1,583.76x = 2,375.82 × 488.40
  4. Step 4: Simplify right side
    1,583.76x = 1,160,350.49
  5. Step 5: Solve for x
    x = 1,160,350.49/1,583.76
  6. Step 6: Final answer
    x = 732.66

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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.