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Finding the Fourth Proportional to 917.13, 1,376.08 and 506.23

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Solution

The fourth proportional to 917.13, 1,376.08 and 506.23 is: 759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.13 : 1,376.08 = 506.23 : x
  2. Step 2: Convert to fraction form
    917.13/1,376.08 = 506.23/x
  3. Step 3: Cross multiply
    917.13x = 1,376.08 × 506.23
  4. Step 4: Simplify right side
    917.13x = 696,612.98
  5. Step 5: Solve for x
    x = 696,612.98/917.13
  6. Step 6: Final answer
    x = 759.56

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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.