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Finding the Fourth Proportional to 830.06, 1,244.26 and 522.14

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Solution

The fourth proportional to 830.06, 1,244.26 and 522.14 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 1,244.26 = 522.14 : x
  2. Step 2: Convert to fraction form
    830.06/1,244.26 = 522.14/x
  3. Step 3: Cross multiply
    830.06x = 1,244.26 × 522.14
  4. Step 4: Simplify right side
    830.06x = 649,670.39
  5. Step 5: Solve for x
    x = 649,670.39/830.06
  6. Step 6: Final answer
    x = 782.68

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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.