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Finding the Fourth Proportional to 889.38, 1,223.37 and 831.06

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Solution

The fourth proportional to 889.38, 1,223.37 and 831.06 is: 1,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.38 : 1,223.37 = 831.06 : x
  2. Step 2: Convert to fraction form
    889.38/1,223.37 = 831.06/x
  3. Step 3: Cross multiply
    889.38x = 1,223.37 × 831.06
  4. Step 4: Simplify right side
    889.38x = 1,016,693.87
  5. Step 5: Solve for x
    x = 1,016,693.87/889.38
  6. Step 6: Final answer
    x = 1,143.15

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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.