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Finding the Fourth Proportional to 1,238.08, 1,855.08 and 621.16

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Solution

The fourth proportional to 1,238.08, 1,855.08 and 621.16 is: 930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.08 : 1,855.08 = 621.16 : x
  2. Step 2: Convert to fraction form
    1,238.08/1,855.08 = 621.16/x
  3. Step 3: Cross multiply
    1,238.08x = 1,855.08 × 621.16
  4. Step 4: Simplify right side
    1,238.08x = 1,152,301.49
  5. Step 5: Solve for x
    x = 1,152,301.49/1,238.08
  6. Step 6: Final answer
    x = 930.72

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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.