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Finding the Fourth Proportional to 911.80, 1,365.90 and 586

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Solution

The fourth proportional to 911.80, 1,365.90 and 586 is: 877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.80 : 1,365.90 = 586 : x
  2. Step 2: Convert to fraction form
    911.80/1,365.90 = 586/x
  3. Step 3: Cross multiply
    911.80x = 1,365.90 × 586
  4. Step 4: Simplify right side
    911.80x = 800,417.40
  5. Step 5: Solve for x
    x = 800,417.40/911.80
  6. Step 6: Final answer
    x = 877.84

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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.