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Finding the Fourth Proportional to 947.48, 1,421.37 and 537.12

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Solution

The fourth proportional to 947.48, 1,421.37 and 537.12 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.48 : 1,421.37 = 537.12 : x
  2. Step 2: Convert to fraction form
    947.48/1,421.37 = 537.12/x
  3. Step 3: Cross multiply
    947.48x = 1,421.37 × 537.12
  4. Step 4: Simplify right side
    947.48x = 763,446.25
  5. Step 5: Solve for x
    x = 763,446.25/947.48
  6. Step 6: Final answer
    x = 805.77

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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.