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Finding the Fourth Proportional to 695.35, 1,048.23 and 649.52

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Solution

The fourth proportional to 695.35, 1,048.23 and 649.52 is: 979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.35 : 1,048.23 = 649.52 : x
  2. Step 2: Convert to fraction form
    695.35/1,048.23 = 649.52/x
  3. Step 3: Cross multiply
    695.35x = 1,048.23 × 649.52
  4. Step 4: Simplify right side
    695.35x = 680,846.35
  5. Step 5: Solve for x
    x = 680,846.35/695.35
  6. Step 6: Final answer
    x = 979.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.