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Finding the Fourth Proportional to 1,141.57, 1,573.03 and 787.60

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Solution

The fourth proportional to 1,141.57, 1,573.03 and 787.60 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.57 : 1,573.03 = 787.60 : x
  2. Step 2: Convert to fraction form
    1,141.57/1,573.03 = 787.60/x
  3. Step 3: Cross multiply
    1,141.57x = 1,573.03 × 787.60
  4. Step 4: Simplify right side
    1,141.57x = 1,238,918.43
  5. Step 5: Solve for x
    x = 1,238,918.43/1,141.57
  6. Step 6: Final answer
    x = 1,085.28

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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.