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Finding the Fourth Proportional to 1,528.14, 2,291.74 and 650.63

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Solution

The fourth proportional to 1,528.14, 2,291.74 and 650.63 is: 975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.14 : 2,291.74 = 650.63 : x
  2. Step 2: Convert to fraction form
    1,528.14/2,291.74 = 650.63/x
  3. Step 3: Cross multiply
    1,528.14x = 2,291.74 × 650.63
  4. Step 4: Simplify right side
    1,528.14x = 1,491,071.54
  5. Step 5: Solve for x
    x = 1,491,071.54/1,528.14
  6. Step 6: Final answer
    x = 975.74

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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.