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Finding the Fourth Proportional to 1,111.59, 1,533.96 and 614.23

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Solution

The fourth proportional to 1,111.59, 1,533.96 and 614.23 is: 847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.59 : 1,533.96 = 614.23 : x
  2. Step 2: Convert to fraction form
    1,111.59/1,533.96 = 614.23/x
  3. Step 3: Cross multiply
    1,111.59x = 1,533.96 × 614.23
  4. Step 4: Simplify right side
    1,111.59x = 942,200.42
  5. Step 5: Solve for x
    x = 942,200.42/1,111.59
  6. Step 6: Final answer
    x = 847.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.