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Finding the Fourth Proportional to 811.97, 1,120.71 and 476.03

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Solution

The fourth proportional to 811.97, 1,120.71 and 476.03 is: 657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,120.71 = 476.03 : x
  2. Step 2: Convert to fraction form
    811.97/1,120.71 = 476.03/x
  3. Step 3: Cross multiply
    811.97x = 1,120.71 × 476.03
  4. Step 4: Simplify right side
    811.97x = 533,483.60
  5. Step 5: Solve for x
    x = 533,483.60/811.97
  6. Step 6: Final answer
    x = 657.02

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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.