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Finding the Fourth Proportional to 832.90, 1,248.71 and 503.76

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Solution

The fourth proportional to 832.90, 1,248.71 and 503.76 is: 755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.90 : 1,248.71 = 503.76 : x
  2. Step 2: Convert to fraction form
    832.90/1,248.71 = 503.76/x
  3. Step 3: Cross multiply
    832.90x = 1,248.71 × 503.76
  4. Step 4: Simplify right side
    832.90x = 629,052.01
  5. Step 5: Solve for x
    x = 629,052.01/832.90
  6. Step 6: Final answer
    x = 755.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.