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Finding the Fourth Proportional to 834.06, 1,151.01 and 466.06

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Solution

The fourth proportional to 834.06, 1,151.01 and 466.06 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.06 : 1,151.01 = 466.06 : x
  2. Step 2: Convert to fraction form
    834.06/1,151.01 = 466.06/x
  3. Step 3: Cross multiply
    834.06x = 1,151.01 × 466.06
  4. Step 4: Simplify right side
    834.06x = 536,440.85
  5. Step 5: Solve for x
    x = 536,440.85/834.06
  6. Step 6: Final answer
    x = 643.17

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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.