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Finding the Fourth Proportional to 935.78, 1,290.75 and 586.22

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Solution

The fourth proportional to 935.78, 1,290.75 and 586.22 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.78 : 1,290.75 = 586.22 : x
  2. Step 2: Convert to fraction form
    935.78/1,290.75 = 586.22/x
  3. Step 3: Cross multiply
    935.78x = 1,290.75 × 586.22
  4. Step 4: Simplify right side
    935.78x = 756,663.47
  5. Step 5: Solve for x
    x = 756,663.47/935.78
  6. Step 6: Final answer
    x = 808.59

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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.