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Finding the Fourth Proportional to 653.65, 899.83 and 506.23

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Solution

The fourth proportional to 653.65, 899.83 and 506.23 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.65 : 899.83 = 506.23 : x
  2. Step 2: Convert to fraction form
    653.65/899.83 = 506.23/x
  3. Step 3: Cross multiply
    653.65x = 899.83 × 506.23
  4. Step 4: Simplify right side
    653.65x = 455,520.94
  5. Step 5: Solve for x
    x = 455,520.94/653.65
  6. Step 6: Final answer
    x = 696.89

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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.