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Finding the Fourth Proportional to 1,111.27, 1,533.07 and 779.91

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Solution

The fourth proportional to 1,111.27, 1,533.07 and 779.91 is: 1,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.27 : 1,533.07 = 779.91 : x
  2. Step 2: Convert to fraction form
    1,111.27/1,533.07 = 779.91/x
  3. Step 3: Cross multiply
    1,111.27x = 1,533.07 × 779.91
  4. Step 4: Simplify right side
    1,111.27x = 1,195,645.06
  5. Step 5: Solve for x
    x = 1,195,645.06/1,111.27
  6. Step 6: Final answer
    x = 1,075.93

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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.