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Finding the Fourth Proportional to 972.05, 1,458.17 and 424.28

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Solution

The fourth proportional to 972.05, 1,458.17 and 424.28 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,458.17 = 424.28 : x
  2. Step 2: Convert to fraction form
    972.05/1,458.17 = 424.28/x
  3. Step 3: Cross multiply
    972.05x = 1,458.17 × 424.28
  4. Step 4: Simplify right side
    972.05x = 618,662.96
  5. Step 5: Solve for x
    x = 618,662.96/972.05
  6. Step 6: Final answer
    x = 636.46

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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.