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Finding the Fourth Proportional to 610.12, 909.89 and 577.72

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Solution

The fourth proportional to 610.12, 909.89 and 577.72 is: 861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.12 : 909.89 = 577.72 : x
  2. Step 2: Convert to fraction form
    610.12/909.89 = 577.72/x
  3. Step 3: Cross multiply
    610.12x = 909.89 × 577.72
  4. Step 4: Simplify right side
    610.12x = 525,661.65
  5. Step 5: Solve for x
    x = 525,661.65/610.12
  6. Step 6: Final answer
    x = 861.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.