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Finding the Fourth Proportional to 765.75, 1,056.55 and 544.62

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Solution

The fourth proportional to 765.75, 1,056.55 and 544.62 is: 751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.75 : 1,056.55 = 544.62 : x
  2. Step 2: Convert to fraction form
    765.75/1,056.55 = 544.62/x
  3. Step 3: Cross multiply
    765.75x = 1,056.55 × 544.62
  4. Step 4: Simplify right side
    765.75x = 575,410.26
  5. Step 5: Solve for x
    x = 575,410.26/765.75
  6. Step 6: Final answer
    x = 751.44

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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.