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Finding the Fourth Proportional to 914.80, 1,372.80 and 524.80

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Solution

The fourth proportional to 914.80, 1,372.80 and 524.80 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.80 : 1,372.80 = 524.80 : x
  2. Step 2: Convert to fraction form
    914.80/1,372.80 = 524.80/x
  3. Step 3: Cross multiply
    914.80x = 1,372.80 × 524.80
  4. Step 4: Simplify right side
    914.80x = 720,445.44
  5. Step 5: Solve for x
    x = 720,445.44/914.80
  6. Step 6: Final answer
    x = 787.54

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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.