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Finding the Fourth Proportional to 1,046.64, 1,566.30 and 651.14

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Solution

The fourth proportional to 1,046.64, 1,566.30 and 651.14 is: 974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.64 : 1,566.30 = 651.14 : x
  2. Step 2: Convert to fraction form
    1,046.64/1,566.30 = 651.14/x
  3. Step 3: Cross multiply
    1,046.64x = 1,566.30 × 651.14
  4. Step 4: Simplify right side
    1,046.64x = 1,019,880.58
  5. Step 5: Solve for x
    x = 1,019,880.58/1,046.64
  6. Step 6: Final answer
    x = 974.43

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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.