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Finding the Fourth Proportional to 1,242.54, 1,863.45 and 584.22

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Solution

The fourth proportional to 1,242.54, 1,863.45 and 584.22 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.54 : 1,863.45 = 584.22 : x
  2. Step 2: Convert to fraction form
    1,242.54/1,863.45 = 584.22/x
  3. Step 3: Cross multiply
    1,242.54x = 1,863.45 × 584.22
  4. Step 4: Simplify right side
    1,242.54x = 1,088,664.76
  5. Step 5: Solve for x
    x = 1,088,664.76/1,242.54
  6. Step 6: Final answer
    x = 876.16

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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.