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Finding the Fourth Proportional to 1,316.15, 1,974.53 and 700.45

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Solution

The fourth proportional to 1,316.15, 1,974.53 and 700.45 is: 1,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.15 : 1,974.53 = 700.45 : x
  2. Step 2: Convert to fraction form
    1,316.15/1,974.53 = 700.45/x
  3. Step 3: Cross multiply
    1,316.15x = 1,974.53 × 700.45
  4. Step 4: Simplify right side
    1,316.15x = 1,383,052.41
  5. Step 5: Solve for x
    x = 1,383,052.41/1,316.15
  6. Step 6: Final answer
    x = 1,050.83

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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.