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Finding the Fourth Proportional to 1,160.55, 1,739.66 and 511.17

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Solution

The fourth proportional to 1,160.55, 1,739.66 and 511.17 is: 766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.55 : 1,739.66 = 511.17 : x
  2. Step 2: Convert to fraction form
    1,160.55/1,739.66 = 511.17/x
  3. Step 3: Cross multiply
    1,160.55x = 1,739.66 × 511.17
  4. Step 4: Simplify right side
    1,160.55x = 889,259.45
  5. Step 5: Solve for x
    x = 889,259.45/1,160.55
  6. Step 6: Final answer
    x = 766.24

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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.