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Finding the Fourth Proportional to 653.80, 900.70 and 560.24

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Solution

The fourth proportional to 653.80, 900.70 and 560.24 is: 771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 900.70 = 560.24 : x
  2. Step 2: Convert to fraction form
    653.80/900.70 = 560.24/x
  3. Step 3: Cross multiply
    653.80x = 900.70 × 560.24
  4. Step 4: Simplify right side
    653.80x = 504,608.17
  5. Step 5: Solve for x
    x = 504,608.17/653.80
  6. Step 6: Final answer
    x = 771.81

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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.