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Finding the Fourth Proportional to 1,574.65, 2,360.22 and 649.09

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Solution

The fourth proportional to 1,574.65, 2,360.22 and 649.09 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.65 : 2,360.22 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,574.65/2,360.22 = 649.09/x
  3. Step 3: Cross multiply
    1,574.65x = 2,360.22 × 649.09
  4. Step 4: Simplify right side
    1,574.65x = 1,531,995.20
  5. Step 5: Solve for x
    x = 1,531,995.20/1,574.65
  6. Step 6: Final answer
    x = 972.91

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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.