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Finding the Fourth Proportional to 858.49, 1,184.75 and 522.34

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Solution

The fourth proportional to 858.49, 1,184.75 and 522.34 is: 720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.49 : 1,184.75 = 522.34 : x
  2. Step 2: Convert to fraction form
    858.49/1,184.75 = 522.34/x
  3. Step 3: Cross multiply
    858.49x = 1,184.75 × 522.34
  4. Step 4: Simplify right side
    858.49x = 618,842.32
  5. Step 5: Solve for x
    x = 618,842.32/858.49
  6. Step 6: Final answer
    x = 720.85

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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.