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Finding the Fourth Proportional to 1,111.67, 1,534.05 and 614.33

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Solution

The fourth proportional to 1,111.67, 1,534.05 and 614.33 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.67 : 1,534.05 = 614.33 : x
  2. Step 2: Convert to fraction form
    1,111.67/1,534.05 = 614.33/x
  3. Step 3: Cross multiply
    1,111.67x = 1,534.05 × 614.33
  4. Step 4: Simplify right side
    1,111.67x = 942,412.94
  5. Step 5: Solve for x
    x = 942,412.94/1,111.67
  6. Step 6: Final answer
    x = 847.75

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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.