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Finding the Fourth Proportional to 854.04, 1,274.82 and 733.08

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Solution

The fourth proportional to 854.04, 1,274.82 and 733.08 is: 1,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,274.82 = 733.08 : x
  2. Step 2: Convert to fraction form
    854.04/1,274.82 = 733.08/x
  3. Step 3: Cross multiply
    854.04x = 1,274.82 × 733.08
  4. Step 4: Simplify right side
    854.04x = 934,545.05
  5. Step 5: Solve for x
    x = 934,545.05/854.04
  6. Step 6: Final answer
    x = 1,094.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.