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Finding the Fourth Proportional to 1,358.23, 2,035.71 and 700.42

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Solution

The fourth proportional to 1,358.23, 2,035.71 and 700.42 is: 1,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.23 : 2,035.71 = 700.42 : x
  2. Step 2: Convert to fraction form
    1,358.23/2,035.71 = 700.42/x
  3. Step 3: Cross multiply
    1,358.23x = 2,035.71 × 700.42
  4. Step 4: Simplify right side
    1,358.23x = 1,425,852.00
  5. Step 5: Solve for x
    x = 1,425,852.00/1,358.23
  6. Step 6: Final answer
    x = 1,049.79

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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.