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Finding the Fourth Proportional to 1,137.48, 1,569.78 and 671.72

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Solution

The fourth proportional to 1,137.48, 1,569.78 and 671.72 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.48 : 1,569.78 = 671.72 : x
  2. Step 2: Convert to fraction form
    1,137.48/1,569.78 = 671.72/x
  3. Step 3: Cross multiply
    1,137.48x = 1,569.78 × 671.72
  4. Step 4: Simplify right side
    1,137.48x = 1,054,452.62
  5. Step 5: Solve for x
    x = 1,054,452.62/1,137.48
  6. Step 6: Final answer
    x = 927.01

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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.