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Finding the Fourth Proportional to 1,357.91, 1,872.84 and 860.06

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Solution

The fourth proportional to 1,357.91, 1,872.84 and 860.06 is: 1,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.91 : 1,872.84 = 860.06 : x
  2. Step 2: Convert to fraction form
    1,357.91/1,872.84 = 860.06/x
  3. Step 3: Cross multiply
    1,357.91x = 1,872.84 × 860.06
  4. Step 4: Simplify right side
    1,357.91x = 1,610,759.45
  5. Step 5: Solve for x
    x = 1,610,759.45/1,357.91
  6. Step 6: Final answer
    x = 1,186.21

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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.