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Finding the Fourth Proportional to 1,059.83, 1,462.47 and 617.57

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Solution

The fourth proportional to 1,059.83, 1,462.47 and 617.57 is: 852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.83 : 1,462.47 = 617.57 : x
  2. Step 2: Convert to fraction form
    1,059.83/1,462.47 = 617.57/x
  3. Step 3: Cross multiply
    1,059.83x = 1,462.47 × 617.57
  4. Step 4: Simplify right side
    1,059.83x = 903,177.60
  5. Step 5: Solve for x
    x = 903,177.60/1,059.83
  6. Step 6: Final answer
    x = 852.19

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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.