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Finding the Fourth Proportional to 900.78, 1,357.60 and 850.54

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Solution

The fourth proportional to 900.78, 1,357.60 and 850.54 is: 1,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,357.60 = 850.54 : x
  2. Step 2: Convert to fraction form
    900.78/1,357.60 = 850.54/x
  3. Step 3: Cross multiply
    900.78x = 1,357.60 × 850.54
  4. Step 4: Simplify right side
    900.78x = 1,154,693.10
  5. Step 5: Solve for x
    x = 1,154,693.10/900.78
  6. Step 6: Final answer
    x = 1,281.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.