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Finding the Fourth Proportional to 946.64, 1,420.24 and 459.60

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Solution

The fourth proportional to 946.64, 1,420.24 and 459.60 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.64 : 1,420.24 = 459.60 : x
  2. Step 2: Convert to fraction form
    946.64/1,420.24 = 459.60/x
  3. Step 3: Cross multiply
    946.64x = 1,420.24 × 459.60
  4. Step 4: Simplify right side
    946.64x = 652,742.30
  5. Step 5: Solve for x
    x = 652,742.30/946.64
  6. Step 6: Final answer
    x = 689.54

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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.