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Finding the Fourth Proportional to 834.84, 1,151.20 and 624.68

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Solution

The fourth proportional to 834.84, 1,151.20 and 624.68 is: 861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,151.20 = 624.68 : x
  2. Step 2: Convert to fraction form
    834.84/1,151.20 = 624.68/x
  3. Step 3: Cross multiply
    834.84x = 1,151.20 × 624.68
  4. Step 4: Simplify right side
    834.84x = 719,130.96
  5. Step 5: Solve for x
    x = 719,130.96/834.84
  6. Step 6: Final answer
    x = 861.40

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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.