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Finding the Fourth Proportional to 1,107.71, 1,528.60 and 635.64

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Solution

The fourth proportional to 1,107.71, 1,528.60 and 635.64 is: 877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.71 : 1,528.60 = 635.64 : x
  2. Step 2: Convert to fraction form
    1,107.71/1,528.60 = 635.64/x
  3. Step 3: Cross multiply
    1,107.71x = 1,528.60 × 635.64
  4. Step 4: Simplify right side
    1,107.71x = 971,636.13
  5. Step 5: Solve for x
    x = 971,636.13/1,107.71
  6. Step 6: Final answer
    x = 877.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.