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Finding the Fourth Proportional to 696.85, 961.95 and 500.02

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Solution

The fourth proportional to 696.85, 961.95 and 500.02 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.85 : 961.95 = 500.02 : x
  2. Step 2: Convert to fraction form
    696.85/961.95 = 500.02/x
  3. Step 3: Cross multiply
    696.85x = 961.95 × 500.02
  4. Step 4: Simplify right side
    696.85x = 480,994.24
  5. Step 5: Solve for x
    x = 480,994.24/696.85
  6. Step 6: Final answer
    x = 690.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.