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Finding the Fourth Proportional to 1,398.15, 1,929.49 and 831.28

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Solution

The fourth proportional to 1,398.15, 1,929.49 and 831.28 is: 1,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.15 : 1,929.49 = 831.28 : x
  2. Step 2: Convert to fraction form
    1,398.15/1,929.49 = 831.28/x
  3. Step 3: Cross multiply
    1,398.15x = 1,929.49 × 831.28
  4. Step 4: Simplify right side
    1,398.15x = 1,603,946.45
  5. Step 5: Solve for x
    x = 1,603,946.45/1,398.15
  6. Step 6: Final answer
    x = 1,147.19

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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.