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Finding the Fourth Proportional to 834.96, 1,151.52 and 554.94

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Solution

The fourth proportional to 834.96, 1,151.52 and 554.94 is: 765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,151.52 = 554.94 : x
  2. Step 2: Convert to fraction form
    834.96/1,151.52 = 554.94/x
  3. Step 3: Cross multiply
    834.96x = 1,151.52 × 554.94
  4. Step 4: Simplify right side
    834.96x = 639,024.51
  5. Step 5: Solve for x
    x = 639,024.51/834.96
  6. Step 6: Final answer
    x = 765.34

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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.