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Finding the Fourth Proportional to 831.18, 1,145.75 and 536.07

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Solution

The fourth proportional to 831.18, 1,145.75 and 536.07 is: 738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.18 : 1,145.75 = 536.07 : x
  2. Step 2: Convert to fraction form
    831.18/1,145.75 = 536.07/x
  3. Step 3: Cross multiply
    831.18x = 1,145.75 × 536.07
  4. Step 4: Simplify right side
    831.18x = 614,197.81
  5. Step 5: Solve for x
    x = 614,197.81/831.18
  6. Step 6: Final answer
    x = 738.95

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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.