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Finding the Fourth Proportional to 810.10, 1,213.07 and 666.10

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Solution

The fourth proportional to 810.10, 1,213.07 and 666.10 is: 997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.10 : 1,213.07 = 666.10 : x
  2. Step 2: Convert to fraction form
    810.10/1,213.07 = 666.10/x
  3. Step 3: Cross multiply
    810.10x = 1,213.07 × 666.10
  4. Step 4: Simplify right side
    810.10x = 808,025.93
  5. Step 5: Solve for x
    x = 808,025.93/810.10
  6. Step 6: Final answer
    x = 997.44

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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.