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Finding the Fourth Proportional to 1,243.58, 1,865.36 and 319.13

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Solution

The fourth proportional to 1,243.58, 1,865.36 and 319.13 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.58 : 1,865.36 = 319.13 : x
  2. Step 2: Convert to fraction form
    1,243.58/1,865.36 = 319.13/x
  3. Step 3: Cross multiply
    1,243.58x = 1,865.36 × 319.13
  4. Step 4: Simplify right side
    1,243.58x = 595,295.40
  5. Step 5: Solve for x
    x = 595,295.40/1,243.58
  6. Step 6: Final answer
    x = 478.70

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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.