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Finding the Fourth Proportional to 1,046.25, 1,566.95 and 829.17

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Solution

The fourth proportional to 1,046.25, 1,566.95 and 829.17 is: 1,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.25 : 1,566.95 = 829.17 : x
  2. Step 2: Convert to fraction form
    1,046.25/1,566.95 = 829.17/x
  3. Step 3: Cross multiply
    1,046.25x = 1,566.95 × 829.17
  4. Step 4: Simplify right side
    1,046.25x = 1,299,263.79
  5. Step 5: Solve for x
    x = 1,299,263.79/1,046.25
  6. Step 6: Final answer
    x = 1,241.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.