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Finding the Fourth Proportional to 1,137.65, 1,705.39 and 649.76

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Solution

The fourth proportional to 1,137.65, 1,705.39 and 649.76 is: 974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.65 : 1,705.39 = 649.76 : x
  2. Step 2: Convert to fraction form
    1,137.65/1,705.39 = 649.76/x
  3. Step 3: Cross multiply
    1,137.65x = 1,705.39 × 649.76
  4. Step 4: Simplify right side
    1,137.65x = 1,108,094.21
  5. Step 5: Solve for x
    x = 1,108,094.21/1,137.65
  6. Step 6: Final answer
    x = 974.02

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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.