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Finding the Fourth Proportional to 834.99, 1,152.19 and 461.95

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Solution

The fourth proportional to 834.99, 1,152.19 and 461.95 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.99 : 1,152.19 = 461.95 : x
  2. Step 2: Convert to fraction form
    834.99/1,152.19 = 461.95/x
  3. Step 3: Cross multiply
    834.99x = 1,152.19 × 461.95
  4. Step 4: Simplify right side
    834.99x = 532,254.17
  5. Step 5: Solve for x
    x = 532,254.17/834.99
  6. Step 6: Final answer
    x = 637.44

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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.