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Finding the Fourth Proportional to 696.84, 1,043.10 and 465.92

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Solution

The fourth proportional to 696.84, 1,043.10 and 465.92 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.84 : 1,043.10 = 465.92 : x
  2. Step 2: Convert to fraction form
    696.84/1,043.10 = 465.92/x
  3. Step 3: Cross multiply
    696.84x = 1,043.10 × 465.92
  4. Step 4: Simplify right side
    696.84x = 486,001.15
  5. Step 5: Solve for x
    x = 486,001.15/696.84
  6. Step 6: Final answer
    x = 697.44

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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.