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Finding the Fourth Proportional to 709.74, 1,057.14 and 700.14

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Solution

The fourth proportional to 709.74, 1,057.14 and 700.14 is: 1,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,057.14 = 700.14 : x
  2. Step 2: Convert to fraction form
    709.74/1,057.14 = 700.14/x
  3. Step 3: Cross multiply
    709.74x = 1,057.14 × 700.14
  4. Step 4: Simplify right side
    709.74x = 740,146.00
  5. Step 5: Solve for x
    x = 740,146.00/709.74
  6. Step 6: Final answer
    x = 1,042.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.