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Finding the Fourth Proportional to 947.36, 1,420.68 and 434

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Solution

The fourth proportional to 947.36, 1,420.68 and 434 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.36 : 1,420.68 = 434 : x
  2. Step 2: Convert to fraction form
    947.36/1,420.68 = 434/x
  3. Step 3: Cross multiply
    947.36x = 1,420.68 × 434
  4. Step 4: Simplify right side
    947.36x = 616,575.12
  5. Step 5: Solve for x
    x = 616,575.12/947.36
  6. Step 6: Final answer
    x = 650.84

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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.