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Finding the Fourth Proportional to 1,324.40, 1,827.78 and 735.11

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Solution

The fourth proportional to 1,324.40, 1,827.78 and 735.11 is: 1,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.40 : 1,827.78 = 735.11 : x
  2. Step 2: Convert to fraction form
    1,324.40/1,827.78 = 735.11/x
  3. Step 3: Cross multiply
    1,324.40x = 1,827.78 × 735.11
  4. Step 4: Simplify right side
    1,324.40x = 1,343,619.36
  5. Step 5: Solve for x
    x = 1,343,619.36/1,324.40
  6. Step 6: Final answer
    x = 1,014.51

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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.