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Finding the Fourth Proportional to 1,288.33, 1,928.30 and 701.87

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Solution

The fourth proportional to 1,288.33, 1,928.30 and 701.87 is: 1,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.33 : 1,928.30 = 701.87 : x
  2. Step 2: Convert to fraction form
    1,288.33/1,928.30 = 701.87/x
  3. Step 3: Cross multiply
    1,288.33x = 1,928.30 × 701.87
  4. Step 4: Simplify right side
    1,288.33x = 1,353,402.77
  5. Step 5: Solve for x
    x = 1,353,402.77/1,288.33
  6. Step 6: Final answer
    x = 1,050.51

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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.