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Finding the Fourth Proportional to 831.24, 1,145.34 and 597.96

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Solution

The fourth proportional to 831.24, 1,145.34 and 597.96 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,145.34 = 597.96 : x
  2. Step 2: Convert to fraction form
    831.24/1,145.34 = 597.96/x
  3. Step 3: Cross multiply
    831.24x = 1,145.34 × 597.96
  4. Step 4: Simplify right side
    831.24x = 684,867.51
  5. Step 5: Solve for x
    x = 684,867.51/831.24
  6. Step 6: Final answer
    x = 823.91

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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.