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Finding the Fourth Proportional to 668.64, 1,005.84 and 573.60

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Solution

The fourth proportional to 668.64, 1,005.84 and 573.60 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,005.84 = 573.60 : x
  2. Step 2: Convert to fraction form
    668.64/1,005.84 = 573.60/x
  3. Step 3: Cross multiply
    668.64x = 1,005.84 × 573.60
  4. Step 4: Simplify right side
    668.64x = 576,949.82
  5. Step 5: Solve for x
    x = 576,949.82/668.64
  6. Step 6: Final answer
    x = 862.87

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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.