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Finding the Fourth Proportional to 610.88, 917.16 and 520.16

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Solution

The fourth proportional to 610.88, 917.16 and 520.16 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 917.16 = 520.16 : x
  2. Step 2: Convert to fraction form
    610.88/917.16 = 520.16/x
  3. Step 3: Cross multiply
    610.88x = 917.16 × 520.16
  4. Step 4: Simplify right side
    610.88x = 477,069.95
  5. Step 5: Solve for x
    x = 477,069.95/610.88
  6. Step 6: Final answer
    x = 780.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.