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Finding the Fourth Proportional to 1,036.86, 1,555.11 and 831.12

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Solution

The fourth proportional to 1,036.86, 1,555.11 and 831.12 is: 1,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.86 : 1,555.11 = 831.12 : x
  2. Step 2: Convert to fraction form
    1,036.86/1,555.11 = 831.12/x
  3. Step 3: Cross multiply
    1,036.86x = 1,555.11 × 831.12
  4. Step 4: Simplify right side
    1,036.86x = 1,292,483.02
  5. Step 5: Solve for x
    x = 1,292,483.02/1,036.86
  6. Step 6: Final answer
    x = 1,246.54

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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.