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Finding the Fourth Proportional to 1,143.84, 1,716.08 and 450.08

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Solution

The fourth proportional to 1,143.84, 1,716.08 and 450.08 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.84 : 1,716.08 = 450.08 : x
  2. Step 2: Convert to fraction form
    1,143.84/1,716.08 = 450.08/x
  3. Step 3: Cross multiply
    1,143.84x = 1,716.08 × 450.08
  4. Step 4: Simplify right side
    1,143.84x = 772,373.29
  5. Step 5: Solve for x
    x = 772,373.29/1,143.84
  6. Step 6: Final answer
    x = 675.25

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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.