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Finding the Fourth Proportional to 910.02, 1,364.08 and 829.83

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Solution

The fourth proportional to 910.02, 1,364.08 and 829.83 is: 1,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.02 : 1,364.08 = 829.83 : x
  2. Step 2: Convert to fraction form
    910.02/1,364.08 = 829.83/x
  3. Step 3: Cross multiply
    910.02x = 1,364.08 × 829.83
  4. Step 4: Simplify right side
    910.02x = 1,131,954.51
  5. Step 5: Solve for x
    x = 1,131,954.51/910.02
  6. Step 6: Final answer
    x = 1,243.88

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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.