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Finding the Fourth Proportional to 814.10, 1,212.12 and 802.35

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Solution

The fourth proportional to 814.10, 1,212.12 and 802.35 is: 1,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.10 : 1,212.12 = 802.35 : x
  2. Step 2: Convert to fraction form
    814.10/1,212.12 = 802.35/x
  3. Step 3: Cross multiply
    814.10x = 1,212.12 × 802.35
  4. Step 4: Simplify right side
    814.10x = 972,544.48
  5. Step 5: Solve for x
    x = 972,544.48/814.10
  6. Step 6: Final answer
    x = 1,194.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.