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Finding the Fourth Proportional to 1,477.75, 2,217.18 and 784.39

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Solution

The fourth proportional to 1,477.75, 2,217.18 and 784.39 is: 1,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.75 : 2,217.18 = 784.39 : x
  2. Step 2: Convert to fraction form
    1,477.75/2,217.18 = 784.39/x
  3. Step 3: Cross multiply
    1,477.75x = 2,217.18 × 784.39
  4. Step 4: Simplify right side
    1,477.75x = 1,739,133.82
  5. Step 5: Solve for x
    x = 1,739,133.82/1,477.75
  6. Step 6: Final answer
    x = 1,176.88

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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.