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Finding the Fourth Proportional to 1,111.11, 1,533.28 and 613.74

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Solution

The fourth proportional to 1,111.11, 1,533.28 and 613.74 is: 846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.11 : 1,533.28 = 613.74 : x
  2. Step 2: Convert to fraction form
    1,111.11/1,533.28 = 613.74/x
  3. Step 3: Cross multiply
    1,111.11x = 1,533.28 × 613.74
  4. Step 4: Simplify right side
    1,111.11x = 941,039.48
  5. Step 5: Solve for x
    x = 941,039.48/1,111.11
  6. Step 6: Final answer
    x = 846.94

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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.