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Finding the Fourth Proportional to 947.07, 1,420.77 and 399.11

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Solution

The fourth proportional to 947.07, 1,420.77 and 399.11 is: 598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,420.77 = 399.11 : x
  2. Step 2: Convert to fraction form
    947.07/1,420.77 = 399.11/x
  3. Step 3: Cross multiply
    947.07x = 1,420.77 × 399.11
  4. Step 4: Simplify right side
    947.07x = 567,036.41
  5. Step 5: Solve for x
    x = 567,036.41/947.07
  6. Step 6: Final answer
    x = 598.73

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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.