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Finding the Fourth Proportional to 810.20, 1,214.32 and 577.83

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Solution

The fourth proportional to 810.20, 1,214.32 and 577.83 is: 866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.20 : 1,214.32 = 577.83 : x
  2. Step 2: Convert to fraction form
    810.20/1,214.32 = 577.83/x
  3. Step 3: Cross multiply
    810.20x = 1,214.32 × 577.83
  4. Step 4: Simplify right side
    810.20x = 701,670.53
  5. Step 5: Solve for x
    x = 701,670.53/810.20
  6. Step 6: Final answer
    x = 866.05

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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.