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Finding the Fourth Proportional to 1,328.73, 1,833.45 and 831.20

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Solution

The fourth proportional to 1,328.73, 1,833.45 and 831.20 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.73 : 1,833.45 = 831.20 : x
  2. Step 2: Convert to fraction form
    1,328.73/1,833.45 = 831.20/x
  3. Step 3: Cross multiply
    1,328.73x = 1,833.45 × 831.20
  4. Step 4: Simplify right side
    1,328.73x = 1,523,954.47
  5. Step 5: Solve for x
    x = 1,523,954.47/1,328.73
  6. Step 6: Final answer
    x = 1,146.93

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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.