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Finding the Fourth Proportional to 893.34, 1,338.90 and 802.08

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Solution

The fourth proportional to 893.34, 1,338.90 and 802.08 is: 1,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.34 : 1,338.90 = 802.08 : x
  2. Step 2: Convert to fraction form
    893.34/1,338.90 = 802.08/x
  3. Step 3: Cross multiply
    893.34x = 1,338.90 × 802.08
  4. Step 4: Simplify right side
    893.34x = 1,073,904.91
  5. Step 5: Solve for x
    x = 1,073,904.91/893.34
  6. Step 6: Final answer
    x = 1,202.12

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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.