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Finding the Fourth Proportional to 946.96, 1,420.64 and 459.74

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Solution

The fourth proportional to 946.96, 1,420.64 and 459.74 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.96 : 1,420.64 = 459.74 : x
  2. Step 2: Convert to fraction form
    946.96/1,420.64 = 459.74/x
  3. Step 3: Cross multiply
    946.96x = 1,420.64 × 459.74
  4. Step 4: Simplify right side
    946.96x = 653,125.03
  5. Step 5: Solve for x
    x = 653,125.03/946.96
  6. Step 6: Final answer
    x = 689.71

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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.