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Finding the Fourth Proportional to 901.41, 1,243.46 and 565.23

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Solution

The fourth proportional to 901.41, 1,243.46 and 565.23 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.41 : 1,243.46 = 565.23 : x
  2. Step 2: Convert to fraction form
    901.41/1,243.46 = 565.23/x
  3. Step 3: Cross multiply
    901.41x = 1,243.46 × 565.23
  4. Step 4: Simplify right side
    901.41x = 702,838.07
  5. Step 5: Solve for x
    x = 702,838.07/901.41
  6. Step 6: Final answer
    x = 779.71

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Double scale
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1.5x scale

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.