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Finding the Fourth Proportional to 1,090.19, 1,633.82 and 569.12

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Solution

The fourth proportional to 1,090.19, 1,633.82 and 569.12 is: 852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,633.82 = 569.12 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,633.82 = 569.12/x
  3. Step 3: Cross multiply
    1,090.19x = 1,633.82 × 569.12
  4. Step 4: Simplify right side
    1,090.19x = 929,828.62
  5. Step 5: Solve for x
    x = 929,828.62/1,090.19
  6. Step 6: Final answer
    x = 852.91

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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.