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Finding the Fourth Proportional to 810.40, 1,214.16 and 552.64

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Solution

The fourth proportional to 810.40, 1,214.16 and 552.64 is: 827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.40 : 1,214.16 = 552.64 : x
  2. Step 2: Convert to fraction form
    810.40/1,214.16 = 552.64/x
  3. Step 3: Cross multiply
    810.40x = 1,214.16 × 552.64
  4. Step 4: Simplify right side
    810.40x = 670,993.38
  5. Step 5: Solve for x
    x = 670,993.38/810.40
  6. Step 6: Final answer
    x = 827.98

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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.