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Finding the Fourth Proportional to 1,103.60, 1,523.94 and 750.83

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Solution

The fourth proportional to 1,103.60, 1,523.94 and 750.83 is: 1,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.60 : 1,523.94 = 750.83 : x
  2. Step 2: Convert to fraction form
    1,103.60/1,523.94 = 750.83/x
  3. Step 3: Cross multiply
    1,103.60x = 1,523.94 × 750.83
  4. Step 4: Simplify right side
    1,103.60x = 1,144,222.23
  5. Step 5: Solve for x
    x = 1,144,222.23/1,103.60
  6. Step 6: Final answer
    x = 1,036.81

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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.