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Finding the Fourth Proportional to 1,302.03, 1,796.45 and 836.55

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Solution

The fourth proportional to 1,302.03, 1,796.45 and 836.55 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.03 : 1,796.45 = 836.55 : x
  2. Step 2: Convert to fraction form
    1,302.03/1,796.45 = 836.55/x
  3. Step 3: Cross multiply
    1,302.03x = 1,796.45 × 836.55
  4. Step 4: Simplify right side
    1,302.03x = 1,502,816.06
  5. Step 5: Solve for x
    x = 1,502,816.06/1,302.03
  6. Step 6: Final answer
    x = 1,154.21

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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.