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Finding the Fourth Proportional to 1,247.96, 1,869.87 and 553.58

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Solution

The fourth proportional to 1,247.96, 1,869.87 and 553.58 is: 829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.96 : 1,869.87 = 553.58 : x
  2. Step 2: Convert to fraction form
    1,247.96/1,869.87 = 553.58/x
  3. Step 3: Cross multiply
    1,247.96x = 1,869.87 × 553.58
  4. Step 4: Simplify right side
    1,247.96x = 1,035,122.63
  5. Step 5: Solve for x
    x = 1,035,122.63/1,247.96
  6. Step 6: Final answer
    x = 829.45

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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.