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Finding the Fourth Proportional to 1,221.54, 1,831.44 and 571.92

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Solution

The fourth proportional to 1,221.54, 1,831.44 and 571.92 is: 857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.54 : 1,831.44 = 571.92 : x
  2. Step 2: Convert to fraction form
    1,221.54/1,831.44 = 571.92/x
  3. Step 3: Cross multiply
    1,221.54x = 1,831.44 × 571.92
  4. Step 4: Simplify right side
    1,221.54x = 1,047,437.16
  5. Step 5: Solve for x
    x = 1,047,437.16/1,221.54
  6. Step 6: Final answer
    x = 857.47

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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.