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Finding the Fourth Proportional to 653.14, 900.27 and 599.49

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Solution

The fourth proportional to 653.14, 900.27 and 599.49 is: 826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 900.27 = 599.49 : x
  2. Step 2: Convert to fraction form
    653.14/900.27 = 599.49/x
  3. Step 3: Cross multiply
    653.14x = 900.27 × 599.49
  4. Step 4: Simplify right side
    653.14x = 539,702.86
  5. Step 5: Solve for x
    x = 539,702.86/653.14
  6. Step 6: Final answer
    x = 826.32

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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.