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Finding the Fourth Proportional to 1,238.95, 1,858.12 and 417.01

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Solution

The fourth proportional to 1,238.95, 1,858.12 and 417.01 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.95 : 1,858.12 = 417.01 : x
  2. Step 2: Convert to fraction form
    1,238.95/1,858.12 = 417.01/x
  3. Step 3: Cross multiply
    1,238.95x = 1,858.12 × 417.01
  4. Step 4: Simplify right side
    1,238.95x = 774,854.62
  5. Step 5: Solve for x
    x = 774,854.62/1,238.95
  6. Step 6: Final answer
    x = 625.41

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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.