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Finding the Fourth Proportional to 1,478.30, 2,216.25 and 553.72

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Solution

The fourth proportional to 1,478.30, 2,216.25 and 553.72 is: 830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.30 : 2,216.25 = 553.72 : x
  2. Step 2: Convert to fraction form
    1,478.30/2,216.25 = 553.72/x
  3. Step 3: Cross multiply
    1,478.30x = 2,216.25 × 553.72
  4. Step 4: Simplify right side
    1,478.30x = 1,227,181.95
  5. Step 5: Solve for x
    x = 1,227,181.95/1,478.30
  6. Step 6: Final answer
    x = 830.13

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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.