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Finding the Fourth Proportional to 1,357.96, 1,874.01 and 736.96

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Solution

The fourth proportional to 1,357.96, 1,874.01 and 736.96 is: 1,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.96 : 1,874.01 = 736.96 : x
  2. Step 2: Convert to fraction form
    1,357.96/1,874.01 = 736.96/x
  3. Step 3: Cross multiply
    1,357.96x = 1,874.01 × 736.96
  4. Step 4: Simplify right side
    1,357.96x = 1,381,070.41
  5. Step 5: Solve for x
    x = 1,381,070.41/1,357.96
  6. Step 6: Final answer
    x = 1,017.02

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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.