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Finding the Fourth Proportional to 1,476.29, 2,214.01 and 552.21

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Solution

The fourth proportional to 1,476.29, 2,214.01 and 552.21 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.29 : 2,214.01 = 552.21 : x
  2. Step 2: Convert to fraction form
    1,476.29/2,214.01 = 552.21/x
  3. Step 3: Cross multiply
    1,476.29x = 2,214.01 × 552.21
  4. Step 4: Simplify right side
    1,476.29x = 1,222,598.46
  5. Step 5: Solve for x
    x = 1,222,598.46/1,476.29
  6. Step 6: Final answer
    x = 828.16

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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.