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Finding the Fourth Proportional to 1,583.64, 2,375.70 and 488.19

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Solution

The fourth proportional to 1,583.64, 2,375.70 and 488.19 is: 732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.64 : 2,375.70 = 488.19 : x
  2. Step 2: Convert to fraction form
    1,583.64/2,375.70 = 488.19/x
  3. Step 3: Cross multiply
    1,583.64x = 2,375.70 × 488.19
  4. Step 4: Simplify right side
    1,583.64x = 1,159,792.98
  5. Step 5: Solve for x
    x = 1,159,792.98/1,583.64
  6. Step 6: Final answer
    x = 732.36

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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.