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Finding the Fourth Proportional to 831.16, 1,146.76 and 536.60

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Solution

The fourth proportional to 831.16, 1,146.76 and 536.60 is: 740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.16 : 1,146.76 = 536.60 : x
  2. Step 2: Convert to fraction form
    831.16/1,146.76 = 536.60/x
  3. Step 3: Cross multiply
    831.16x = 1,146.76 × 536.60
  4. Step 4: Simplify right side
    831.16x = 615,351.42
  5. Step 5: Solve for x
    x = 615,351.42/831.16
  6. Step 6: Final answer
    x = 740.35

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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.