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Finding the Fourth Proportional to 897.38, 1,237.33 and 831.77

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Solution

The fourth proportional to 897.38, 1,237.33 and 831.77 is: 1,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.38 : 1,237.33 = 831.77 : x
  2. Step 2: Convert to fraction form
    897.38/1,237.33 = 831.77/x
  3. Step 3: Cross multiply
    897.38x = 1,237.33 × 831.77
  4. Step 4: Simplify right side
    897.38x = 1,029,168.79
  5. Step 5: Solve for x
    x = 1,029,168.79/897.38
  6. Step 6: Final answer
    x = 1,146.86

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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.