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Finding the Fourth Proportional to 805.65, 1,205.52 and 649.01

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Solution

The fourth proportional to 805.65, 1,205.52 and 649.01 is: 971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,205.52 = 649.01 : x
  2. Step 2: Convert to fraction form
    805.65/1,205.52 = 649.01/x
  3. Step 3: Cross multiply
    805.65x = 1,205.52 × 649.01
  4. Step 4: Simplify right side
    805.65x = 782,395.12
  5. Step 5: Solve for x
    x = 782,395.12/805.65
  6. Step 6: Final answer
    x = 971.14

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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.