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Finding the Fourth Proportional to 1,137.53, 1,569.87 and 633.40

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Solution

The fourth proportional to 1,137.53, 1,569.87 and 633.40 is: 874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.53 : 1,569.87 = 633.40 : x
  2. Step 2: Convert to fraction form
    1,137.53/1,569.87 = 633.40/x
  3. Step 3: Cross multiply
    1,137.53x = 1,569.87 × 633.40
  4. Step 4: Simplify right side
    1,137.53x = 994,351.73
  5. Step 5: Solve for x
    x = 994,351.73/1,137.53
  6. Step 6: Final answer
    x = 874.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.