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Finding the Fourth Proportional to 947, 1,420.68 and 434

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Solution

The fourth proportional to 947, 1,420.68 and 434 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,420.68 = 434 : x
  2. Step 2: Convert to fraction form
    947/1,420.68 = 434/x
  3. Step 3: Cross multiply
    947x = 1,420.68 × 434
  4. Step 4: Simplify right side
    947x = 616,575.12
  5. Step 5: Solve for x
    x = 616,575.12/947
  6. Step 6: Final answer
    x = 651.08

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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.