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Finding the Fourth Proportional to 1,243.97, 1,865.64 and 366.23

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Solution

The fourth proportional to 1,243.97, 1,865.64 and 366.23 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.97 : 1,865.64 = 366.23 : x
  2. Step 2: Convert to fraction form
    1,243.97/1,865.64 = 366.23/x
  3. Step 3: Cross multiply
    1,243.97x = 1,865.64 × 366.23
  4. Step 4: Simplify right side
    1,243.97x = 683,253.34
  5. Step 5: Solve for x
    x = 683,253.34/1,243.97
  6. Step 6: Final answer
    x = 549.25

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1.5x scale

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.