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Finding the Fourth Proportional to 1,313.32, 1,970.25 and 696.70

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Solution

The fourth proportional to 1,313.32, 1,970.25 and 696.70 is: 1,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.32 : 1,970.25 = 696.70 : x
  2. Step 2: Convert to fraction form
    1,313.32/1,970.25 = 696.70/x
  3. Step 3: Cross multiply
    1,313.32x = 1,970.25 × 696.70
  4. Step 4: Simplify right side
    1,313.32x = 1,372,673.18
  5. Step 5: Solve for x
    x = 1,372,673.18/1,313.32
  6. Step 6: Final answer
    x = 1,045.19

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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.