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Finding the Fourth Proportional to 834.68, 1,152.18 and 524.12

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Solution

The fourth proportional to 834.68, 1,152.18 and 524.12 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,152.18 = 524.12 : x
  2. Step 2: Convert to fraction form
    834.68/1,152.18 = 524.12/x
  3. Step 3: Cross multiply
    834.68x = 1,152.18 × 524.12
  4. Step 4: Simplify right side
    834.68x = 603,880.58
  5. Step 5: Solve for x
    x = 603,880.58/834.68
  6. Step 6: Final answer
    x = 723.49

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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.