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Finding the Fourth Proportional to 1,137.53, 1,569.86 and 633.46

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Solution

The fourth proportional to 1,137.53, 1,569.86 and 633.46 is: 874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.53 : 1,569.86 = 633.46 : x
  2. Step 2: Convert to fraction form
    1,137.53/1,569.86 = 633.46/x
  3. Step 3: Cross multiply
    1,137.53x = 1,569.86 × 633.46
  4. Step 4: Simplify right side
    1,137.53x = 994,438.80
  5. Step 5: Solve for x
    x = 994,438.80/1,137.53
  6. Step 6: Final answer
    x = 874.21

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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.