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Finding the Fourth Proportional to 697.60, 963.12 and 501.76

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Solution

The fourth proportional to 697.60, 963.12 and 501.76 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 963.12 = 501.76 : x
  2. Step 2: Convert to fraction form
    697.60/963.12 = 501.76/x
  3. Step 3: Cross multiply
    697.60x = 963.12 × 501.76
  4. Step 4: Simplify right side
    697.60x = 483,255.09
  5. Step 5: Solve for x
    x = 483,255.09/697.60
  6. Step 6: Final answer
    x = 692.74

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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.