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Finding the Fourth Proportional to 606.70, 910.05 and 577.84

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Solution

The fourth proportional to 606.70, 910.05 and 577.84 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.70 : 910.05 = 577.84 : x
  2. Step 2: Convert to fraction form
    606.70/910.05 = 577.84/x
  3. Step 3: Cross multiply
    606.70x = 910.05 × 577.84
  4. Step 4: Simplify right side
    606.70x = 525,863.29
  5. Step 5: Solve for x
    x = 525,863.29/606.70
  6. Step 6: Final answer
    x = 866.76

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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.