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Finding the Fourth Proportional to 935.74, 1,290.47 and 778.89

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Solution

The fourth proportional to 935.74, 1,290.47 and 778.89 is: 1,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.74 : 1,290.47 = 778.89 : x
  2. Step 2: Convert to fraction form
    935.74/1,290.47 = 778.89/x
  3. Step 3: Cross multiply
    935.74x = 1,290.47 × 778.89
  4. Step 4: Simplify right side
    935.74x = 1,005,136.13
  5. Step 5: Solve for x
    x = 1,005,136.13/935.74
  6. Step 6: Final answer
    x = 1,074.16

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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.