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Finding the Fourth Proportional to 936.48, 1,292.52 and 586.92

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Solution

The fourth proportional to 936.48, 1,292.52 and 586.92 is: 810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,292.52 = 586.92 : x
  2. Step 2: Convert to fraction form
    936.48/1,292.52 = 586.92/x
  3. Step 3: Cross multiply
    936.48x = 1,292.52 × 586.92
  4. Step 4: Simplify right side
    936.48x = 758,605.84
  5. Step 5: Solve for x
    x = 758,605.84/936.48
  6. Step 6: Final answer
    x = 810.06

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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.