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Finding the Fourth Proportional to 917.46, 1,376.19 and 816.08

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Solution

The fourth proportional to 917.46, 1,376.19 and 816.08 is: 1,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.46 : 1,376.19 = 816.08 : x
  2. Step 2: Convert to fraction form
    917.46/1,376.19 = 816.08/x
  3. Step 3: Cross multiply
    917.46x = 1,376.19 × 816.08
  4. Step 4: Simplify right side
    917.46x = 1,123,074.25
  5. Step 5: Solve for x
    x = 1,123,074.25/917.46
  6. Step 6: Final answer
    x = 1,224.11

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Why These Related Problems?

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