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Finding the Fourth Proportional to 935.61, 1,291 and 586.29

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Solution

The fourth proportional to 935.61, 1,291 and 586.29 is: 808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.61 : 1,291 = 586.29 : x
  2. Step 2: Convert to fraction form
    935.61/1,291 = 586.29/x
  3. Step 3: Cross multiply
    935.61x = 1,291 × 586.29
  4. Step 4: Simplify right side
    935.61x = 756,900.39
  5. Step 5: Solve for x
    x = 756,900.39/935.61
  6. Step 6: Final answer
    x = 808.99

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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.