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Finding the Fourth Proportional to 788.03, 1,085.99 and 566.60

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Solution

The fourth proportional to 788.03, 1,085.99 and 566.60 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.03 : 1,085.99 = 566.60 : x
  2. Step 2: Convert to fraction form
    788.03/1,085.99 = 566.60/x
  3. Step 3: Cross multiply
    788.03x = 1,085.99 × 566.60
  4. Step 4: Simplify right side
    788.03x = 615,313.67
  5. Step 5: Solve for x
    x = 615,313.67/788.03
  6. Step 6: Final answer
    x = 780.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.