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Finding the Fourth Proportional to 649.80, 897.12 and 502.77

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Solution

The fourth proportional to 649.80, 897.12 and 502.77 is: 694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 897.12 = 502.77 : x
  2. Step 2: Convert to fraction form
    649.80/897.12 = 502.77/x
  3. Step 3: Cross multiply
    649.80x = 897.12 × 502.77
  4. Step 4: Simplify right side
    649.80x = 451,045.02
  5. Step 5: Solve for x
    x = 451,045.02/649.80
  6. Step 6: Final answer
    x = 694.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.