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Finding the Fourth Proportional to 1,246.81, 1,870.23 and 381.13

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Solution

The fourth proportional to 1,246.81, 1,870.23 and 381.13 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.81 : 1,870.23 = 381.13 : x
  2. Step 2: Convert to fraction form
    1,246.81/1,870.23 = 381.13/x
  3. Step 3: Cross multiply
    1,246.81x = 1,870.23 × 381.13
  4. Step 4: Simplify right side
    1,246.81x = 712,800.76
  5. Step 5: Solve for x
    x = 712,800.76/1,246.81
  6. Step 6: Final answer
    x = 571.70

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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.