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Finding the Fourth Proportional to 1,074.02, 1,484.89 and 826.16

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Solution

The fourth proportional to 1,074.02, 1,484.89 and 826.16 is: 1,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.02 : 1,484.89 = 826.16 : x
  2. Step 2: Convert to fraction form
    1,074.02/1,484.89 = 826.16/x
  3. Step 3: Cross multiply
    1,074.02x = 1,484.89 × 826.16
  4. Step 4: Simplify right side
    1,074.02x = 1,226,747.23
  5. Step 5: Solve for x
    x = 1,226,747.23/1,074.02
  6. Step 6: Final answer
    x = 1,142.21

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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.