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Finding the Fourth Proportional to 1,393.04, 2,088.48 and 571.52

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Solution

The fourth proportional to 1,393.04, 2,088.48 and 571.52 is: 856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.04 : 2,088.48 = 571.52 : x
  2. Step 2: Convert to fraction form
    1,393.04/2,088.48 = 571.52/x
  3. Step 3: Cross multiply
    1,393.04x = 2,088.48 × 571.52
  4. Step 4: Simplify right side
    1,393.04x = 1,193,608.09
  5. Step 5: Solve for x
    x = 1,193,608.09/1,393.04
  6. Step 6: Final answer
    x = 856.84

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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.