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Finding the Fourth Proportional to 1,111.90, 1,534.41 and 614.54

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Solution

The fourth proportional to 1,111.90, 1,534.41 and 614.54 is: 848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.90 : 1,534.41 = 614.54 : x
  2. Step 2: Convert to fraction form
    1,111.90/1,534.41 = 614.54/x
  3. Step 3: Cross multiply
    1,111.90x = 1,534.41 × 614.54
  4. Step 4: Simplify right side
    1,111.90x = 942,948.65
  5. Step 5: Solve for x
    x = 942,948.65/1,111.90
  6. Step 6: Final answer
    x = 848.05

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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.