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Finding the Fourth Proportional to 831.05, 1,146.48 and 609.61

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Solution

The fourth proportional to 831.05, 1,146.48 and 609.61 is: 841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.05 : 1,146.48 = 609.61 : x
  2. Step 2: Convert to fraction form
    831.05/1,146.48 = 609.61/x
  3. Step 3: Cross multiply
    831.05x = 1,146.48 × 609.61
  4. Step 4: Simplify right side
    831.05x = 698,905.67
  5. Step 5: Solve for x
    x = 698,905.67/831.05
  6. Step 6: Final answer
    x = 841.00

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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.