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Finding the Fourth Proportional to 853.19, 1,177.36 and 522.17

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Solution

The fourth proportional to 853.19, 1,177.36 and 522.17 is: 720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.19 : 1,177.36 = 522.17 : x
  2. Step 2: Convert to fraction form
    853.19/1,177.36 = 522.17/x
  3. Step 3: Cross multiply
    853.19x = 1,177.36 × 522.17
  4. Step 4: Simplify right side
    853.19x = 614,782.07
  5. Step 5: Solve for x
    x = 614,782.07/853.19
  6. Step 6: Final answer
    x = 720.57

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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.