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Finding the Fourth Proportional to 864.78, 1,194.06 and 570.47

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Solution

The fourth proportional to 864.78, 1,194.06 and 570.47 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.78 : 1,194.06 = 570.47 : x
  2. Step 2: Convert to fraction form
    864.78/1,194.06 = 570.47/x
  3. Step 3: Cross multiply
    864.78x = 1,194.06 × 570.47
  4. Step 4: Simplify right side
    864.78x = 681,169.44
  5. Step 5: Solve for x
    x = 681,169.44/864.78
  6. Step 6: Final answer
    x = 787.68

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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.