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Finding the Fourth Proportional to 778.48, 1,073.93 and 568.31

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Solution

The fourth proportional to 778.48, 1,073.93 and 568.31 is: 783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.48 : 1,073.93 = 568.31 : x
  2. Step 2: Convert to fraction form
    778.48/1,073.93 = 568.31/x
  3. Step 3: Cross multiply
    778.48x = 1,073.93 × 568.31
  4. Step 4: Simplify right side
    778.48x = 610,316.95
  5. Step 5: Solve for x
    x = 610,316.95/778.48
  6. Step 6: Final answer
    x = 783.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.