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Finding the Fourth Proportional to 831.08, 1,245.42 and 522.07

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Solution

The fourth proportional to 831.08, 1,245.42 and 522.07 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.08 : 1,245.42 = 522.07 : x
  2. Step 2: Convert to fraction form
    831.08/1,245.42 = 522.07/x
  3. Step 3: Cross multiply
    831.08x = 1,245.42 × 522.07
  4. Step 4: Simplify right side
    831.08x = 650,196.42
  5. Step 5: Solve for x
    x = 650,196.42/831.08
  6. Step 6: Final answer
    x = 782.35

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.