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Finding the Fourth Proportional to 814.96, 1,124.45 and 802.64

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Solution

The fourth proportional to 814.96, 1,124.45 and 802.64 is: 1,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,124.45 = 802.64 : x
  2. Step 2: Convert to fraction form
    814.96/1,124.45 = 802.64/x
  3. Step 3: Cross multiply
    814.96x = 1,124.45 × 802.64
  4. Step 4: Simplify right side
    814.96x = 902,530.36
  5. Step 5: Solve for x
    x = 902,530.36/814.96
  6. Step 6: Final answer
    x = 1,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.