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Finding the Fourth Proportional to 786.38, 1,184.15 and 582.40

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Solution

The fourth proportional to 786.38, 1,184.15 and 582.40 is: 876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,184.15 = 582.40 : x
  2. Step 2: Convert to fraction form
    786.38/1,184.15 = 582.40/x
  3. Step 3: Cross multiply
    786.38x = 1,184.15 × 582.40
  4. Step 4: Simplify right side
    786.38x = 689,643.09
  5. Step 5: Solve for x
    x = 689,643.09/786.38
  6. Step 6: Final answer
    x = 876.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.