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Finding the Fourth Proportional to 834.84, 1,251.84 and 526.94

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Solution

The fourth proportional to 834.84, 1,251.84 and 526.94 is: 790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,251.84 = 526.94 : x
  2. Step 2: Convert to fraction form
    834.84/1,251.84 = 526.94/x
  3. Step 3: Cross multiply
    834.84x = 1,251.84 × 526.94
  4. Step 4: Simplify right side
    834.84x = 659,644.57
  5. Step 5: Solve for x
    x = 659,644.57/834.84
  6. Step 6: Final answer
    x = 790.14

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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.