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Finding the Fourth Proportional to 649.65, 977.97 and 592.23

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Solution

The fourth proportional to 649.65, 977.97 and 592.23 is: 891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 977.97 = 592.23 : x
  2. Step 2: Convert to fraction form
    649.65/977.97 = 592.23/x
  3. Step 3: Cross multiply
    649.65x = 977.97 × 592.23
  4. Step 4: Simplify right side
    649.65x = 579,183.17
  5. Step 5: Solve for x
    x = 579,183.17/649.65
  6. Step 6: Final answer
    x = 891.53

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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.