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Finding the Fourth Proportional to 1,137.34, 1,705.30 and 649.72

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Solution

The fourth proportional to 1,137.34, 1,705.30 and 649.72 is: 974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.34 : 1,705.30 = 649.72 : x
  2. Step 2: Convert to fraction form
    1,137.34/1,705.30 = 649.72/x
  3. Step 3: Cross multiply
    1,137.34x = 1,705.30 × 649.72
  4. Step 4: Simplify right side
    1,137.34x = 1,107,967.52
  5. Step 5: Solve for x
    x = 1,107,967.52/1,137.34
  6. Step 6: Final answer
    x = 974.17

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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.