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Finding the Fourth Proportional to 1,393.04, 2,089.26 and 571.10

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Solution

The fourth proportional to 1,393.04, 2,089.26 and 571.10 is: 856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.04 : 2,089.26 = 571.10 : x
  2. Step 2: Convert to fraction form
    1,393.04/2,089.26 = 571.10/x
  3. Step 3: Cross multiply
    1,393.04x = 2,089.26 × 571.10
  4. Step 4: Simplify right side
    1,393.04x = 1,193,176.39
  5. Step 5: Solve for x
    x = 1,193,176.39/1,393.04
  6. Step 6: Final answer
    x = 856.53

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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.