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Finding the Fourth Proportional to 1,088.22, 1,631.96 and 357.60

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Solution

The fourth proportional to 1,088.22, 1,631.96 and 357.60 is: 536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.22 : 1,631.96 = 357.60 : x
  2. Step 2: Convert to fraction form
    1,088.22/1,631.96 = 357.60/x
  3. Step 3: Cross multiply
    1,088.22x = 1,631.96 × 357.60
  4. Step 4: Simplify right side
    1,088.22x = 583,588.90
  5. Step 5: Solve for x
    x = 583,588.90/1,088.22
  6. Step 6: Final answer
    x = 536.28

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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.