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Finding the Fourth Proportional to 946.76, 1,420.47 and 426.87

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Solution

The fourth proportional to 946.76, 1,420.47 and 426.87 is: 640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,420.47 = 426.87 : x
  2. Step 2: Convert to fraction form
    946.76/1,420.47 = 426.87/x
  3. Step 3: Cross multiply
    946.76x = 1,420.47 × 426.87
  4. Step 4: Simplify right side
    946.76x = 606,356.03
  5. Step 5: Solve for x
    x = 606,356.03/946.76
  6. Step 6: Final answer
    x = 640.46

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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.