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Finding the Fourth Proportional to 1,066.13, 1,598.12 and 450.17

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Solution

The fourth proportional to 1,066.13, 1,598.12 and 450.17 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 1,598.12 = 450.17 : x
  2. Step 2: Convert to fraction form
    1,066.13/1,598.12 = 450.17/x
  3. Step 3: Cross multiply
    1,066.13x = 1,598.12 × 450.17
  4. Step 4: Simplify right side
    1,066.13x = 719,430.80
  5. Step 5: Solve for x
    x = 719,430.80/1,066.13
  6. Step 6: Final answer
    x = 674.81

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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.