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Finding the Fourth Proportional to 1,160.83, 1,741.47 and 511.57

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Solution

The fourth proportional to 1,160.83, 1,741.47 and 511.57 is: 767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.83 : 1,741.47 = 511.57 : x
  2. Step 2: Convert to fraction form
    1,160.83/1,741.47 = 511.57/x
  3. Step 3: Cross multiply
    1,160.83x = 1,741.47 × 511.57
  4. Step 4: Simplify right side
    1,160.83x = 890,883.81
  5. Step 5: Solve for x
    x = 890,883.81/1,160.83
  6. Step 6: Final answer
    x = 767.45

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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.