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Finding the Fourth Proportional to 849.90, 1,274.16 and 524.58

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Solution

The fourth proportional to 849.90, 1,274.16 and 524.58 is: 786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.90 : 1,274.16 = 524.58 : x
  2. Step 2: Convert to fraction form
    849.90/1,274.16 = 524.58/x
  3. Step 3: Cross multiply
    849.90x = 1,274.16 × 524.58
  4. Step 4: Simplify right side
    849.90x = 668,398.85
  5. Step 5: Solve for x
    x = 668,398.85/849.90
  6. Step 6: Final answer
    x = 786.44

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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.