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Finding the Fourth Proportional to 1,324.78, 1,828.23 and 735.34

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Solution

The fourth proportional to 1,324.78, 1,828.23 and 735.34 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.78 : 1,828.23 = 735.34 : x
  2. Step 2: Convert to fraction form
    1,324.78/1,828.23 = 735.34/x
  3. Step 3: Cross multiply
    1,324.78x = 1,828.23 × 735.34
  4. Step 4: Simplify right side
    1,324.78x = 1,344,363.32
  5. Step 5: Solve for x
    x = 1,344,363.32/1,324.78
  6. Step 6: Final answer
    x = 1,014.78

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1.5x scale

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.