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Finding the Fourth Proportional to 1,237.64, 1,856.75 and 360.17

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Solution

The fourth proportional to 1,237.64, 1,856.75 and 360.17 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.64 : 1,856.75 = 360.17 : x
  2. Step 2: Convert to fraction form
    1,237.64/1,856.75 = 360.17/x
  3. Step 3: Cross multiply
    1,237.64x = 1,856.75 × 360.17
  4. Step 4: Simplify right side
    1,237.64x = 668,734.56
  5. Step 5: Solve for x
    x = 668,734.56/1,237.64
  6. Step 6: Final answer
    x = 540.33

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1.5x scale

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.