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Finding the Fourth Proportional to 854.72, 1,180.16 and 540.08

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Solution

The fourth proportional to 854.72, 1,180.16 and 540.08 is: 745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,180.16 = 540.08 : x
  2. Step 2: Convert to fraction form
    854.72/1,180.16 = 540.08/x
  3. Step 3: Cross multiply
    854.72x = 1,180.16 × 540.08
  4. Step 4: Simplify right side
    854.72x = 637,380.81
  5. Step 5: Solve for x
    x = 637,380.81/854.72
  6. Step 6: Final answer
    x = 745.72

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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.