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Finding the Fourth Proportional to 831.28, 1,146.95 and 536.19

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Solution

The fourth proportional to 831.28, 1,146.95 and 536.19 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.28 : 1,146.95 = 536.19 : x
  2. Step 2: Convert to fraction form
    831.28/1,146.95 = 536.19/x
  3. Step 3: Cross multiply
    831.28x = 1,146.95 × 536.19
  4. Step 4: Simplify right side
    831.28x = 614,983.12
  5. Step 5: Solve for x
    x = 614,983.12/831.28
  6. Step 6: Final answer
    x = 739.80

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Double scale
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1.5x scale

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.