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Finding the Fourth Proportional to 904.66, 1,356 and 831.76

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Solution

The fourth proportional to 904.66, 1,356 and 831.76 is: 1,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.66 : 1,356 = 831.76 : x
  2. Step 2: Convert to fraction form
    904.66/1,356 = 831.76/x
  3. Step 3: Cross multiply
    904.66x = 1,356 × 831.76
  4. Step 4: Simplify right side
    904.66x = 1,127,866.56
  5. Step 5: Solve for x
    x = 1,127,866.56/904.66
  6. Step 6: Final answer
    x = 1,246.73

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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.