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Finding the Fourth Proportional to 1,145.48, 1,581.46 and 831.74

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Solution

The fourth proportional to 1,145.48, 1,581.46 and 831.74 is: 1,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.48 : 1,581.46 = 831.74 : x
  2. Step 2: Convert to fraction form
    1,145.48/1,581.46 = 831.74/x
  3. Step 3: Cross multiply
    1,145.48x = 1,581.46 × 831.74
  4. Step 4: Simplify right side
    1,145.48x = 1,315,353.55
  5. Step 5: Solve for x
    x = 1,315,353.55/1,145.48
  6. Step 6: Final answer
    x = 1,148.30

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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.