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Finding the Fourth Proportional to 641.96, 886.02 and 503.72

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Solution

The fourth proportional to 641.96, 886.02 and 503.72 is: 695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 886.02 = 503.72 : x
  2. Step 2: Convert to fraction form
    641.96/886.02 = 503.72/x
  3. Step 3: Cross multiply
    641.96x = 886.02 × 503.72
  4. Step 4: Simplify right side
    641.96x = 446,305.99
  5. Step 5: Solve for x
    x = 446,305.99/641.96
  6. Step 6: Final answer
    x = 695.22

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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.