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Finding the Fourth Proportional to 1,381.45, 2,071.97 and 457.01

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Solution

The fourth proportional to 1,381.45, 2,071.97 and 457.01 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.45 : 2,071.97 = 457.01 : x
  2. Step 2: Convert to fraction form
    1,381.45/2,071.97 = 457.01/x
  3. Step 3: Cross multiply
    1,381.45x = 2,071.97 × 457.01
  4. Step 4: Simplify right side
    1,381.45x = 946,908.72
  5. Step 5: Solve for x
    x = 946,908.72/1,381.45
  6. Step 6: Final answer
    x = 685.45

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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.