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Finding the Fourth Proportional to 1,141.42, 1,710.06 and 794.02

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Solution

The fourth proportional to 1,141.42, 1,710.06 and 794.02 is: 1,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.42 : 1,710.06 = 794.02 : x
  2. Step 2: Convert to fraction form
    1,141.42/1,710.06 = 794.02/x
  3. Step 3: Cross multiply
    1,141.42x = 1,710.06 × 794.02
  4. Step 4: Simplify right side
    1,141.42x = 1,357,821.84
  5. Step 5: Solve for x
    x = 1,357,821.84/1,141.42
  6. Step 6: Final answer
    x = 1,189.59

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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.