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Finding the Fourth Proportional to 771.60, 1,155.12 and 511.10

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Solution

The fourth proportional to 771.60, 1,155.12 and 511.10 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,155.12 = 511.10 : x
  2. Step 2: Convert to fraction form
    771.60/1,155.12 = 511.10/x
  3. Step 3: Cross multiply
    771.60x = 1,155.12 × 511.10
  4. Step 4: Simplify right side
    771.60x = 590,381.83
  5. Step 5: Solve for x
    x = 590,381.83/771.60
  6. Step 6: Final answer
    x = 765.14

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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.