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Finding the Fourth Proportional to 930.81, 1,283.55 and 798.50

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Solution

The fourth proportional to 930.81, 1,283.55 and 798.50 is: 1,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.81 : 1,283.55 = 798.50 : x
  2. Step 2: Convert to fraction form
    930.81/1,283.55 = 798.50/x
  3. Step 3: Cross multiply
    930.81x = 1,283.55 × 798.50
  4. Step 4: Simplify right side
    930.81x = 1,024,908.26
  5. Step 5: Solve for x
    x = 1,024,908.26/930.81
  6. Step 6: Final answer
    x = 1,101.09

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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.