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Finding the Fourth Proportional to 834.50, 1,152.06 and 503

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Solution

The fourth proportional to 834.50, 1,152.06 and 503 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.50 : 1,152.06 = 503 : x
  2. Step 2: Convert to fraction form
    834.50/1,152.06 = 503/x
  3. Step 3: Cross multiply
    834.50x = 1,152.06 × 503
  4. Step 4: Simplify right side
    834.50x = 579,486.18
  5. Step 5: Solve for x
    x = 579,486.18/834.50
  6. Step 6: Final answer
    x = 694.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.