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Finding the Fourth Proportional to 947.02, 1,306.46 and 592.80

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Solution

The fourth proportional to 947.02, 1,306.46 and 592.80 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.02 : 1,306.46 = 592.80 : x
  2. Step 2: Convert to fraction form
    947.02/1,306.46 = 592.80/x
  3. Step 3: Cross multiply
    947.02x = 1,306.46 × 592.80
  4. Step 4: Simplify right side
    947.02x = 774,469.49
  5. Step 5: Solve for x
    x = 774,469.49/947.02
  6. Step 6: Final answer
    x = 817.80

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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.