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Finding the Fourth Proportional to 1,326.92, 1,831.16 and 737.46

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Solution

The fourth proportional to 1,326.92, 1,831.16 and 737.46 is: 1,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.92 : 1,831.16 = 737.46 : x
  2. Step 2: Convert to fraction form
    1,326.92/1,831.16 = 737.46/x
  3. Step 3: Cross multiply
    1,326.92x = 1,831.16 × 737.46
  4. Step 4: Simplify right side
    1,326.92x = 1,350,407.25
  5. Step 5: Solve for x
    x = 1,350,407.25/1,326.92
  6. Step 6: Final answer
    x = 1,017.70

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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.