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Finding the Fourth Proportional to 834, 1,151.04 and 524.16

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Solution

The fourth proportional to 834, 1,151.04 and 524.16 is: 723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,151.04 = 524.16 : x
  2. Step 2: Convert to fraction form
    834/1,151.04 = 524.16/x
  3. Step 3: Cross multiply
    834x = 1,151.04 × 524.16
  4. Step 4: Simplify right side
    834x = 603,329.13
  5. Step 5: Solve for x
    x = 603,329.13/834
  6. Step 6: Final answer
    x = 723.42

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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.