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Finding the Fourth Proportional to 1,152.82, 1,705.72 and 1,149.58

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Solution

The fourth proportional to 1,152.82, 1,705.72 and 1,149.58 is: 1,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.82 : 1,705.72 = 1,149.58 : x
  2. Step 2: Convert to fraction form
    1,152.82/1,705.72 = 1,149.58/x
  3. Step 3: Cross multiply
    1,152.82x = 1,705.72 × 1,149.58
  4. Step 4: Simplify right side
    1,152.82x = 1,960,861.60
  5. Step 5: Solve for x
    x = 1,960,861.60/1,152.82
  6. Step 6: Final answer
    x = 1,700.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.