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Finding the Fourth Proportional to 1,137.74, 1,705.79 and 918.63

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Solution

The fourth proportional to 1,137.74, 1,705.79 and 918.63 is: 1,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.74 : 1,705.79 = 918.63 : x
  2. Step 2: Convert to fraction form
    1,137.74/1,705.79 = 918.63/x
  3. Step 3: Cross multiply
    1,137.74x = 1,705.79 × 918.63
  4. Step 4: Simplify right side
    1,137.74x = 1,566,985.27
  5. Step 5: Solve for x
    x = 1,566,985.27/1,137.74
  6. Step 6: Final answer
    x = 1,377.28

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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.