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Finding the Fourth Proportional to 1,101.57, 1,521.72 and 880.26

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Solution

The fourth proportional to 1,101.57, 1,521.72 and 880.26 is: 1,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.57 : 1,521.72 = 880.26 : x
  2. Step 2: Convert to fraction form
    1,101.57/1,521.72 = 880.26/x
  3. Step 3: Cross multiply
    1,101.57x = 1,521.72 × 880.26
  4. Step 4: Simplify right side
    1,101.57x = 1,339,509.25
  5. Step 5: Solve for x
    x = 1,339,509.25/1,101.57
  6. Step 6: Final answer
    x = 1,216.00

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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.