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Finding the Fourth Proportional to 1,137.56, 1,705.13 and 649.56

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Solution

The fourth proportional to 1,137.56, 1,705.13 and 649.56 is: 973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,705.13 = 649.56 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,705.13 = 649.56/x
  3. Step 3: Cross multiply
    1,137.56x = 1,705.13 × 649.56
  4. Step 4: Simplify right side
    1,137.56x = 1,107,584.24
  5. Step 5: Solve for x
    x = 1,107,584.24/1,137.56
  6. Step 6: Final answer
    x = 973.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.