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Finding the Fourth Proportional to 831.42, 1,147.42 and 482.14

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Solution

The fourth proportional to 831.42, 1,147.42 and 482.14 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.42 : 1,147.42 = 482.14 : x
  2. Step 2: Convert to fraction form
    831.42/1,147.42 = 482.14/x
  3. Step 3: Cross multiply
    831.42x = 1,147.42 × 482.14
  4. Step 4: Simplify right side
    831.42x = 553,217.08
  5. Step 5: Solve for x
    x = 553,217.08/831.42
  6. Step 6: Final answer
    x = 665.39

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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.