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Finding the Fourth Proportional to 1,237.32, 1,856.03 and 692.97

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Solution

The fourth proportional to 1,237.32, 1,856.03 and 692.97 is: 1,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.32 : 1,856.03 = 692.97 : x
  2. Step 2: Convert to fraction form
    1,237.32/1,856.03 = 692.97/x
  3. Step 3: Cross multiply
    1,237.32x = 1,856.03 × 692.97
  4. Step 4: Simplify right side
    1,237.32x = 1,286,173.11
  5. Step 5: Solve for x
    x = 1,286,173.11/1,237.32
  6. Step 6: Final answer
    x = 1,039.48

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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.