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Finding the Fourth Proportional to 718.61, 1,078.19 and 286.07

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Solution

The fourth proportional to 718.61, 1,078.19 and 286.07 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.61 : 1,078.19 = 286.07 : x
  2. Step 2: Convert to fraction form
    718.61/1,078.19 = 286.07/x
  3. Step 3: Cross multiply
    718.61x = 1,078.19 × 286.07
  4. Step 4: Simplify right side
    718.61x = 308,433.14
  5. Step 5: Solve for x
    x = 308,433.14/718.61
  6. Step 6: Final answer
    x = 429.21

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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.