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Finding the Fourth Proportional to 1,267.94, 1,902.96 and 538.07

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Solution

The fourth proportional to 1,267.94, 1,902.96 and 538.07 is: 807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.94 : 1,902.96 = 538.07 : x
  2. Step 2: Convert to fraction form
    1,267.94/1,902.96 = 538.07/x
  3. Step 3: Cross multiply
    1,267.94x = 1,902.96 × 538.07
  4. Step 4: Simplify right side
    1,267.94x = 1,023,916.17
  5. Step 5: Solve for x
    x = 1,023,916.17/1,267.94
  6. Step 6: Final answer
    x = 807.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.