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Finding the Fourth Proportional to 941.59, 1,298.73 and 587.22

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Solution

The fourth proportional to 941.59, 1,298.73 and 587.22 is: 809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.59 : 1,298.73 = 587.22 : x
  2. Step 2: Convert to fraction form
    941.59/1,298.73 = 587.22/x
  3. Step 3: Cross multiply
    941.59x = 1,298.73 × 587.22
  4. Step 4: Simplify right side
    941.59x = 762,640.23
  5. Step 5: Solve for x
    x = 762,640.23/941.59
  6. Step 6: Final answer
    x = 809.95

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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.