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Finding the Fourth Proportional to 1,071.36, 1,607.20 and 455.06

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Solution

The fourth proportional to 1,071.36, 1,607.20 and 455.06 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.36 : 1,607.20 = 455.06 : x
  2. Step 2: Convert to fraction form
    1,071.36/1,607.20 = 455.06/x
  3. Step 3: Cross multiply
    1,071.36x = 1,607.20 × 455.06
  4. Step 4: Simplify right side
    1,071.36x = 731,375.31
  5. Step 5: Solve for x
    x = 731,375.31/1,071.36
  6. Step 6: Final answer
    x = 682.66

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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.