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Finding the Fourth Proportional to 1,036.22, 1,554.39 and 343.12

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Solution

The fourth proportional to 1,036.22, 1,554.39 and 343.12 is: 514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.22 : 1,554.39 = 343.12 : x
  2. Step 2: Convert to fraction form
    1,036.22/1,554.39 = 343.12/x
  3. Step 3: Cross multiply
    1,036.22x = 1,554.39 × 343.12
  4. Step 4: Simplify right side
    1,036.22x = 533,342.30
  5. Step 5: Solve for x
    x = 533,342.30/1,036.22
  6. Step 6: Final answer
    x = 514.70

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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.