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Finding the Fourth Proportional to 1,370.13, 2,055.08 and 537.21

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Solution

The fourth proportional to 1,370.13, 2,055.08 and 537.21 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.13 : 2,055.08 = 537.21 : x
  2. Step 2: Convert to fraction form
    1,370.13/2,055.08 = 537.21/x
  3. Step 3: Cross multiply
    1,370.13x = 2,055.08 × 537.21
  4. Step 4: Simplify right side
    1,370.13x = 1,104,006.84
  5. Step 5: Solve for x
    x = 1,104,006.84/1,370.13
  6. Step 6: Final answer
    x = 805.77

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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.