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Finding the Fourth Proportional to 788.55, 1,089.27 and 705.66

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Solution

The fourth proportional to 788.55, 1,089.27 and 705.66 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.55 : 1,089.27 = 705.66 : x
  2. Step 2: Convert to fraction form
    788.55/1,089.27 = 705.66/x
  3. Step 3: Cross multiply
    788.55x = 1,089.27 × 705.66
  4. Step 4: Simplify right side
    788.55x = 768,654.27
  5. Step 5: Solve for x
    x = 768,654.27/788.55
  6. Step 6: Final answer
    x = 974.77

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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.