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Finding the Fourth Proportional to 694.16, 1,043.64 and 649.04

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Solution

The fourth proportional to 694.16, 1,043.64 and 649.04 is: 975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 1,043.64 = 649.04 : x
  2. Step 2: Convert to fraction form
    694.16/1,043.64 = 649.04/x
  3. Step 3: Cross multiply
    694.16x = 1,043.64 × 649.04
  4. Step 4: Simplify right side
    694.16x = 677,364.11
  5. Step 5: Solve for x
    x = 677,364.11/694.16
  6. Step 6: Final answer
    x = 975.80

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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.