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Finding the Fourth Proportional to 643.53, 886.03 and 503.47

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Solution

The fourth proportional to 643.53, 886.03 and 503.47 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.53 : 886.03 = 503.47 : x
  2. Step 2: Convert to fraction form
    643.53/886.03 = 503.47/x
  3. Step 3: Cross multiply
    643.53x = 886.03 × 503.47
  4. Step 4: Simplify right side
    643.53x = 446,089.52
  5. Step 5: Solve for x
    x = 446,089.52/643.53
  6. Step 6: Final answer
    x = 693.19

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