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Finding the Fourth Proportional to 1,415.19, 2,123.33 and 684.71

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Solution

The fourth proportional to 1,415.19, 2,123.33 and 684.71 is: 1,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.19 : 2,123.33 = 684.71 : x
  2. Step 2: Convert to fraction form
    1,415.19/2,123.33 = 684.71/x
  3. Step 3: Cross multiply
    1,415.19x = 2,123.33 × 684.71
  4. Step 4: Simplify right side
    1,415.19x = 1,453,865.28
  5. Step 5: Solve for x
    x = 1,453,865.28/1,415.19
  6. Step 6: Final answer
    x = 1,027.33

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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.