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Finding the Fourth Proportional to 947.37, 1,421.26 and 536.70

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Solution

The fourth proportional to 947.37, 1,421.26 and 536.70 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,421.26 = 536.70 : x
  2. Step 2: Convert to fraction form
    947.37/1,421.26 = 536.70/x
  3. Step 3: Cross multiply
    947.37x = 1,421.26 × 536.70
  4. Step 4: Simplify right side
    947.37x = 762,788.90
  5. Step 5: Solve for x
    x = 762,788.90/947.37
  6. Step 6: Final answer
    x = 805.16

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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.