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Finding the Fourth Proportional to 896.76, 1,237.50 and 503.73

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Solution

The fourth proportional to 896.76, 1,237.50 and 503.73 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.76 : 1,237.50 = 503.73 : x
  2. Step 2: Convert to fraction form
    896.76/1,237.50 = 503.73/x
  3. Step 3: Cross multiply
    896.76x = 1,237.50 × 503.73
  4. Step 4: Simplify right side
    896.76x = 623,365.88
  5. Step 5: Solve for x
    x = 623,365.88/896.76
  6. Step 6: Final answer
    x = 695.13

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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.