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Finding the Fourth Proportional to 1,066.95, 1,593.09 and 950.04

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Solution

The fourth proportional to 1,066.95, 1,593.09 and 950.04 is: 1,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.95 : 1,593.09 = 950.04 : x
  2. Step 2: Convert to fraction form
    1,066.95/1,593.09 = 950.04/x
  3. Step 3: Cross multiply
    1,066.95x = 1,593.09 × 950.04
  4. Step 4: Simplify right side
    1,066.95x = 1,513,499.22
  5. Step 5: Solve for x
    x = 1,513,499.22/1,066.95
  6. Step 6: Final answer
    x = 1,418.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.