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Finding the Fourth Proportional to 917.20, 1,376.02 and 506.80

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Solution

The fourth proportional to 917.20, 1,376.02 and 506.80 is: 760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.20 : 1,376.02 = 506.80 : x
  2. Step 2: Convert to fraction form
    917.20/1,376.02 = 506.80/x
  3. Step 3: Cross multiply
    917.20x = 1,376.02 × 506.80
  4. Step 4: Simplify right side
    917.20x = 697,366.94
  5. Step 5: Solve for x
    x = 697,366.94/917.20
  6. Step 6: Final answer
    x = 760.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.