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Finding the Fourth Proportional to 1,137.18, 1,569.51 and 671.70

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Solution

The fourth proportional to 1,137.18, 1,569.51 and 671.70 is: 927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.18 : 1,569.51 = 671.70 : x
  2. Step 2: Convert to fraction form
    1,137.18/1,569.51 = 671.70/x
  3. Step 3: Cross multiply
    1,137.18x = 1,569.51 × 671.70
  4. Step 4: Simplify right side
    1,137.18x = 1,054,239.87
  5. Step 5: Solve for x
    x = 1,054,239.87/1,137.18
  6. Step 6: Final answer
    x = 927.07

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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.