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Finding the Fourth Proportional to 831.32, 1,146.92 and 536.48

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Solution

The fourth proportional to 831.32, 1,146.92 and 536.48 is: 740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,146.92 = 536.48 : x
  2. Step 2: Convert to fraction form
    831.32/1,146.92 = 536.48/x
  3. Step 3: Cross multiply
    831.32x = 1,146.92 × 536.48
  4. Step 4: Simplify right side
    831.32x = 615,291.22
  5. Step 5: Solve for x
    x = 615,291.22/831.32
  6. Step 6: Final answer
    x = 740.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.