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Finding the Fourth Proportional to 1,394.08, 2,089.54 and 571.30

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Solution

The fourth proportional to 1,394.08, 2,089.54 and 571.30 is: 856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.08 : 2,089.54 = 571.30 : x
  2. Step 2: Convert to fraction form
    1,394.08/2,089.54 = 571.30/x
  3. Step 3: Cross multiply
    1,394.08x = 2,089.54 × 571.30
  4. Step 4: Simplify right side
    1,394.08x = 1,193,754.20
  5. Step 5: Solve for x
    x = 1,193,754.20/1,394.08
  6. Step 6: Final answer
    x = 856.30

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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.