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Finding the Fourth Proportional to 1,302.98, 1,799.32 and 838.04

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Solution

The fourth proportional to 1,302.98, 1,799.32 and 838.04 is: 1,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.98 : 1,799.32 = 838.04 : x
  2. Step 2: Convert to fraction form
    1,302.98/1,799.32 = 838.04/x
  3. Step 3: Cross multiply
    1,302.98x = 1,799.32 × 838.04
  4. Step 4: Simplify right side
    1,302.98x = 1,507,902.13
  5. Step 5: Solve for x
    x = 1,507,902.13/1,302.98
  6. Step 6: Final answer
    x = 1,157.27

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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.