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Finding the Fourth Proportional to 1,381.76, 2,071.64 and 457.04

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Solution

The fourth proportional to 1,381.76, 2,071.64 and 457.04 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.76 : 2,071.64 = 457.04 : x
  2. Step 2: Convert to fraction form
    1,381.76/2,071.64 = 457.04/x
  3. Step 3: Cross multiply
    1,381.76x = 2,071.64 × 457.04
  4. Step 4: Simplify right side
    1,381.76x = 946,822.35
  5. Step 5: Solve for x
    x = 946,822.35/1,381.76
  6. Step 6: Final answer
    x = 685.23

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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.