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Finding the Fourth Proportional to 951.66, 1,313.41 and 578.77

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Solution

The fourth proportional to 951.66, 1,313.41 and 578.77 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.66 : 1,313.41 = 578.77 : x
  2. Step 2: Convert to fraction form
    951.66/1,313.41 = 578.77/x
  3. Step 3: Cross multiply
    951.66x = 1,313.41 × 578.77
  4. Step 4: Simplify right side
    951.66x = 760,157.58
  5. Step 5: Solve for x
    x = 760,157.58/951.66
  6. Step 6: Final answer
    x = 798.77

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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.