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Finding the Fourth Proportional to 1,227.30, 1,831.49 and 1,011.30

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Solution

The fourth proportional to 1,227.30, 1,831.49 and 1,011.30 is: 1,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.30 : 1,831.49 = 1,011.30 : x
  2. Step 2: Convert to fraction form
    1,227.30/1,831.49 = 1,011.30/x
  3. Step 3: Cross multiply
    1,227.30x = 1,831.49 × 1,011.30
  4. Step 4: Simplify right side
    1,227.30x = 1,852,180.78
  5. Step 5: Solve for x
    x = 1,852,180.78/1,227.30
  6. Step 6: Final answer
    x = 1,509.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.