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Finding the Fourth Proportional to 834.94, 1,152.10 and 498.84

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Solution

The fourth proportional to 834.94, 1,152.10 and 498.84 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.94 : 1,152.10 = 498.84 : x
  2. Step 2: Convert to fraction form
    834.94/1,152.10 = 498.84/x
  3. Step 3: Cross multiply
    834.94x = 1,152.10 × 498.84
  4. Step 4: Simplify right side
    834.94x = 574,713.56
  5. Step 5: Solve for x
    x = 574,713.56/834.94
  6. Step 6: Final answer
    x = 688.33

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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.