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Finding the Fourth Proportional to 703.75, 1,057.65 and 699.70

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Solution

The fourth proportional to 703.75, 1,057.65 and 699.70 is: 1,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.75 : 1,057.65 = 699.70 : x
  2. Step 2: Convert to fraction form
    703.75/1,057.65 = 699.70/x
  3. Step 3: Cross multiply
    703.75x = 1,057.65 × 699.70
  4. Step 4: Simplify right side
    703.75x = 740,037.71
  5. Step 5: Solve for x
    x = 740,037.71/703.75
  6. Step 6: Final answer
    x = 1,051.56

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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.