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Finding the Fourth Proportional to 917.33, 1,376.46 and 506.39

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Solution

The fourth proportional to 917.33, 1,376.46 and 506.39 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.33 : 1,376.46 = 506.39 : x
  2. Step 2: Convert to fraction form
    917.33/1,376.46 = 506.39/x
  3. Step 3: Cross multiply
    917.33x = 1,376.46 × 506.39
  4. Step 4: Simplify right side
    917.33x = 697,018.70
  5. Step 5: Solve for x
    x = 697,018.70/917.33
  6. Step 6: Final answer
    x = 759.84

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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.