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Finding the Fourth Proportional to 1,090.16, 1,633.26 and 569.63

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Solution

The fourth proportional to 1,090.16, 1,633.26 and 569.63 is: 853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.16 : 1,633.26 = 569.63 : x
  2. Step 2: Convert to fraction form
    1,090.16/1,633.26 = 569.63/x
  3. Step 3: Cross multiply
    1,090.16x = 1,633.26 × 569.63
  4. Step 4: Simplify right side
    1,090.16x = 930,360.11
  5. Step 5: Solve for x
    x = 930,360.11/1,090.16
  6. Step 6: Final answer
    x = 853.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.