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Finding the Fourth Proportional to 831.02, 1,247.30 and 420.45

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Solution

The fourth proportional to 831.02, 1,247.30 and 420.45 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.02 : 1,247.30 = 420.45 : x
  2. Step 2: Convert to fraction form
    831.02/1,247.30 = 420.45/x
  3. Step 3: Cross multiply
    831.02x = 1,247.30 × 420.45
  4. Step 4: Simplify right side
    831.02x = 524,422.08
  5. Step 5: Solve for x
    x = 524,422.08/831.02
  6. Step 6: Final answer
    x = 631.06

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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.