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Finding the Fourth Proportional to 1,476.96, 2,216.81 and 747.05

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Solution

The fourth proportional to 1,476.96, 2,216.81 and 747.05 is: 1,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.96 : 2,216.81 = 747.05 : x
  2. Step 2: Convert to fraction form
    1,476.96/2,216.81 = 747.05/x
  3. Step 3: Cross multiply
    1,476.96x = 2,216.81 × 747.05
  4. Step 4: Simplify right side
    1,476.96x = 1,656,075.32
  5. Step 5: Solve for x
    x = 1,656,075.32/1,476.96
  6. Step 6: Final answer
    x = 1,121.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.