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Finding the Fourth Proportional to 653.40, 902.20 and 505.80

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Solution

The fourth proportional to 653.40, 902.20 and 505.80 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 902.20 = 505.80 : x
  2. Step 2: Convert to fraction form
    653.40/902.20 = 505.80/x
  3. Step 3: Cross multiply
    653.40x = 902.20 × 505.80
  4. Step 4: Simplify right side
    653.40x = 456,332.76
  5. Step 5: Solve for x
    x = 456,332.76/653.40
  6. Step 6: Final answer
    x = 698.40

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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.