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Finding the Fourth Proportional to 1,111.11, 1,533.89 and 691.60

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Solution

The fourth proportional to 1,111.11, 1,533.89 and 691.60 is: 954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.11 : 1,533.89 = 691.60 : x
  2. Step 2: Convert to fraction form
    1,111.11/1,533.89 = 691.60/x
  3. Step 3: Cross multiply
    1,111.11x = 1,533.89 × 691.60
  4. Step 4: Simplify right side
    1,111.11x = 1,060,838.32
  5. Step 5: Solve for x
    x = 1,060,838.32/1,111.11
  6. Step 6: Final answer
    x = 954.76

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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.