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Finding the Fourth Proportional to 1,022.71, 1,533.71 and 957.10

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Solution

The fourth proportional to 1,022.71, 1,533.71 and 957.10 is: 1,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.71 : 1,533.71 = 957.10 : x
  2. Step 2: Convert to fraction form
    1,022.71/1,533.71 = 957.10/x
  3. Step 3: Cross multiply
    1,022.71x = 1,533.71 × 957.10
  4. Step 4: Simplify right side
    1,022.71x = 1,467,913.84
  5. Step 5: Solve for x
    x = 1,467,913.84/1,022.71
  6. Step 6: Final answer
    x = 1,435.32

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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.