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Finding the Fourth Proportional to 854.04, 1,178.25 and 522.30

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Solution

The fourth proportional to 854.04, 1,178.25 and 522.30 is: 720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,178.25 = 522.30 : x
  2. Step 2: Convert to fraction form
    854.04/1,178.25 = 522.30/x
  3. Step 3: Cross multiply
    854.04x = 1,178.25 × 522.30
  4. Step 4: Simplify right side
    854.04x = 615,399.98
  5. Step 5: Solve for x
    x = 615,399.98/854.04
  6. Step 6: Final answer
    x = 720.58

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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.