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Finding the Fourth Proportional to 1,111.46, 1,533.79 and 614.14

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Solution

The fourth proportional to 1,111.46, 1,533.79 and 614.14 is: 847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.46 : 1,533.79 = 614.14 : x
  2. Step 2: Convert to fraction form
    1,111.46/1,533.79 = 614.14/x
  3. Step 3: Cross multiply
    1,111.46x = 1,533.79 × 614.14
  4. Step 4: Simplify right side
    1,111.46x = 941,961.79
  5. Step 5: Solve for x
    x = 941,961.79/1,111.46
  6. Step 6: Final answer
    x = 847.50

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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.