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Finding the Fourth Proportional to 1,584.18, 2,375.48 and 488.28

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Solution

The fourth proportional to 1,584.18, 2,375.48 and 488.28 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.18 : 2,375.48 = 488.28 : x
  2. Step 2: Convert to fraction form
    1,584.18/2,375.48 = 488.28/x
  3. Step 3: Cross multiply
    1,584.18x = 2,375.48 × 488.28
  4. Step 4: Simplify right side
    1,584.18x = 1,159,896.93
  5. Step 5: Solve for x
    x = 1,159,896.93/1,584.18
  6. Step 6: Final answer
    x = 732.17

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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.