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Finding the Fourth Proportional to 1,144.58, 1,715.67 and 870.09

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Solution

The fourth proportional to 1,144.58, 1,715.67 and 870.09 is: 1,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.58 : 1,715.67 = 870.09 : x
  2. Step 2: Convert to fraction form
    1,144.58/1,715.67 = 870.09/x
  3. Step 3: Cross multiply
    1,144.58x = 1,715.67 × 870.09
  4. Step 4: Simplify right side
    1,144.58x = 1,492,787.31
  5. Step 5: Solve for x
    x = 1,492,787.31/1,144.58
  6. Step 6: Final answer
    x = 1,304.23

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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.