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Finding the Fourth Proportional to 1,576.69, 2,365.34 and 711

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Solution

The fourth proportional to 1,576.69, 2,365.34 and 711 is: 1,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.69 : 2,365.34 = 711 : x
  2. Step 2: Convert to fraction form
    1,576.69/2,365.34 = 711/x
  3. Step 3: Cross multiply
    1,576.69x = 2,365.34 × 711
  4. Step 4: Simplify right side
    1,576.69x = 1,681,753.19
  5. Step 5: Solve for x
    x = 1,681,753.19/1,576.69
  6. Step 6: Final answer
    x = 1,066.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.