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Finding the Fourth Proportional to 1,111.38, 1,533.69 and 614.07

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Solution

The fourth proportional to 1,111.38, 1,533.69 and 614.07 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.38 : 1,533.69 = 614.07 : x
  2. Step 2: Convert to fraction form
    1,111.38/1,533.69 = 614.07/x
  3. Step 3: Cross multiply
    1,111.38x = 1,533.69 × 614.07
  4. Step 4: Simplify right side
    1,111.38x = 941,793.02
  5. Step 5: Solve for x
    x = 941,793.02/1,111.38
  6. Step 6: Final answer
    x = 847.41

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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.