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Finding the Fourth Proportional to 1,288.15, 1,935.78 and 703.60

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Solution

The fourth proportional to 1,288.15, 1,935.78 and 703.60 is: 1,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.15 : 1,935.78 = 703.60 : x
  2. Step 2: Convert to fraction form
    1,288.15/1,935.78 = 703.60/x
  3. Step 3: Cross multiply
    1,288.15x = 1,935.78 × 703.60
  4. Step 4: Simplify right side
    1,288.15x = 1,362,014.81
  5. Step 5: Solve for x
    x = 1,362,014.81/1,288.15
  6. Step 6: Final answer
    x = 1,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.