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Finding the Fourth Proportional to 788.77, 1,088.70 and 540.19

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Solution

The fourth proportional to 788.77, 1,088.70 and 540.19 is: 745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.77 : 1,088.70 = 540.19 : x
  2. Step 2: Convert to fraction form
    788.77/1,088.70 = 540.19/x
  3. Step 3: Cross multiply
    788.77x = 1,088.70 × 540.19
  4. Step 4: Simplify right side
    788.77x = 588,104.85
  5. Step 5: Solve for x
    x = 588,104.85/788.77
  6. Step 6: Final answer
    x = 745.60

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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.