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Finding the Fourth Proportional to 1,137.06, 1,705.19 and 772.16

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Solution

The fourth proportional to 1,137.06, 1,705.19 and 772.16 is: 1,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.06 : 1,705.19 = 772.16 : x
  2. Step 2: Convert to fraction form
    1,137.06/1,705.19 = 772.16/x
  3. Step 3: Cross multiply
    1,137.06x = 1,705.19 × 772.16
  4. Step 4: Simplify right side
    1,137.06x = 1,316,667.12
  5. Step 5: Solve for x
    x = 1,316,667.12/1,137.06
  6. Step 6: Final answer
    x = 1,157.96

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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.