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Finding the Fourth Proportional to 1,246.63, 1,870.22 and 381.01

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Solution

The fourth proportional to 1,246.63, 1,870.22 and 381.01 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.63 : 1,870.22 = 381.01 : x
  2. Step 2: Convert to fraction form
    1,246.63/1,870.22 = 381.01/x
  3. Step 3: Cross multiply
    1,246.63x = 1,870.22 × 381.01
  4. Step 4: Simplify right side
    1,246.63x = 712,572.52
  5. Step 5: Solve for x
    x = 712,572.52/1,246.63
  6. Step 6: Final answer
    x = 571.60

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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.