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Finding the Fourth Proportional to 834.07, 1,151.16 and 497.99

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Solution

The fourth proportional to 834.07, 1,151.16 and 497.99 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.07 : 1,151.16 = 497.99 : x
  2. Step 2: Convert to fraction form
    834.07/1,151.16 = 497.99/x
  3. Step 3: Cross multiply
    834.07x = 1,151.16 × 497.99
  4. Step 4: Simplify right side
    834.07x = 573,266.17
  5. Step 5: Solve for x
    x = 573,266.17/834.07
  6. Step 6: Final answer
    x = 687.31

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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.