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Finding the Fourth Proportional to 1,390.56, 2,085.78 and 568.62

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Solution

The fourth proportional to 1,390.56, 2,085.78 and 568.62 is: 852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.56 : 2,085.78 = 568.62 : x
  2. Step 2: Convert to fraction form
    1,390.56/2,085.78 = 568.62/x
  3. Step 3: Cross multiply
    1,390.56x = 2,085.78 × 568.62
  4. Step 4: Simplify right side
    1,390.56x = 1,186,016.22
  5. Step 5: Solve for x
    x = 1,186,016.22/1,390.56
  6. Step 6: Final answer
    x = 852.91

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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.