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Finding the Fourth Proportional to 1,243.54, 1,715.43 and 778.06

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Solution

The fourth proportional to 1,243.54, 1,715.43 and 778.06 is: 1,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.54 : 1,715.43 = 778.06 : x
  2. Step 2: Convert to fraction form
    1,243.54/1,715.43 = 778.06/x
  3. Step 3: Cross multiply
    1,243.54x = 1,715.43 × 778.06
  4. Step 4: Simplify right side
    1,243.54x = 1,334,707.47
  5. Step 5: Solve for x
    x = 1,334,707.47/1,243.54
  6. Step 6: Final answer
    x = 1,073.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.