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Finding the Fourth Proportional to 653.80, 902.40 and 506.02

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Solution

The fourth proportional to 653.80, 902.40 and 506.02 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 902.40 = 506.02 : x
  2. Step 2: Convert to fraction form
    653.80/902.40 = 506.02/x
  3. Step 3: Cross multiply
    653.80x = 902.40 × 506.02
  4. Step 4: Simplify right side
    653.80x = 456,632.45
  5. Step 5: Solve for x
    x = 456,632.45/653.80
  6. Step 6: Final answer
    x = 698.43

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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.