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Finding the Fourth Proportional to 896.76, 1,237.42 and 503.70

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Solution

The fourth proportional to 896.76, 1,237.42 and 503.70 is: 695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.76 : 1,237.42 = 503.70 : x
  2. Step 2: Convert to fraction form
    896.76/1,237.42 = 503.70/x
  3. Step 3: Cross multiply
    896.76x = 1,237.42 × 503.70
  4. Step 4: Simplify right side
    896.76x = 623,288.45
  5. Step 5: Solve for x
    x = 623,288.45/896.76
  6. Step 6: Final answer
    x = 695.04

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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.