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Finding the Fourth Proportional to 694.45, 1,041.64 and 207.50

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Solution

The fourth proportional to 694.45, 1,041.64 and 207.50 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.45 : 1,041.64 = 207.50 : x
  2. Step 2: Convert to fraction form
    694.45/1,041.64 = 207.50/x
  3. Step 3: Cross multiply
    694.45x = 1,041.64 × 207.50
  4. Step 4: Simplify right side
    694.45x = 216,140.30
  5. Step 5: Solve for x
    x = 216,140.30/694.45
  6. Step 6: Final answer
    x = 311.24

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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.