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Finding the Fourth Proportional to 1,583.83, 2,376.12 and 488.21

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Solution

The fourth proportional to 1,583.83, 2,376.12 and 488.21 is: 732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.83 : 2,376.12 = 488.21 : x
  2. Step 2: Convert to fraction form
    1,583.83/2,376.12 = 488.21/x
  3. Step 3: Cross multiply
    1,583.83x = 2,376.12 × 488.21
  4. Step 4: Simplify right side
    1,583.83x = 1,160,045.55
  5. Step 5: Solve for x
    x = 1,160,045.55/1,583.83
  6. Step 6: Final answer
    x = 732.43

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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.