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Finding the Fourth Proportional to 653.25, 899.87 and 505.63

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Solution

The fourth proportional to 653.25, 899.87 and 505.63 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 899.87 = 505.63 : x
  2. Step 2: Convert to fraction form
    653.25/899.87 = 505.63/x
  3. Step 3: Cross multiply
    653.25x = 899.87 × 505.63
  4. Step 4: Simplify right side
    653.25x = 455,001.27
  5. Step 5: Solve for x
    x = 455,001.27/653.25
  6. Step 6: Final answer
    x = 696.52

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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.