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Finding the Fourth Proportional to 1,300.79, 1,795.07 and 858.83

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Solution

The fourth proportional to 1,300.79, 1,795.07 and 858.83 is: 1,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.79 : 1,795.07 = 858.83 : x
  2. Step 2: Convert to fraction form
    1,300.79/1,795.07 = 858.83/x
  3. Step 3: Cross multiply
    1,300.79x = 1,795.07 × 858.83
  4. Step 4: Simplify right side
    1,300.79x = 1,541,653.14
  5. Step 5: Solve for x
    x = 1,541,653.14/1,300.79
  6. Step 6: Final answer
    x = 1,185.16

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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.