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Finding the Fourth Proportional to 947.58, 1,420.29 and 433.50

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Solution

The fourth proportional to 947.58, 1,420.29 and 433.50 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.58 : 1,420.29 = 433.50 : x
  2. Step 2: Convert to fraction form
    947.58/1,420.29 = 433.50/x
  3. Step 3: Cross multiply
    947.58x = 1,420.29 × 433.50
  4. Step 4: Simplify right side
    947.58x = 615,695.72
  5. Step 5: Solve for x
    x = 615,695.72/947.58
  6. Step 6: Final answer
    x = 649.76

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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.