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Finding the Fourth Proportional to 1,234.02, 1,851.28 and 585.48

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Solution

The fourth proportional to 1,234.02, 1,851.28 and 585.48 is: 878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.02 : 1,851.28 = 585.48 : x
  2. Step 2: Convert to fraction form
    1,234.02/1,851.28 = 585.48/x
  3. Step 3: Cross multiply
    1,234.02x = 1,851.28 × 585.48
  4. Step 4: Simplify right side
    1,234.02x = 1,083,887.41
  5. Step 5: Solve for x
    x = 1,083,887.41/1,234.02
  6. Step 6: Final answer
    x = 878.34

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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.