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Finding the Fourth Proportional to 1,071.76, 1,606.80 and 454.96

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Solution

The fourth proportional to 1,071.76, 1,606.80 and 454.96 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.76 : 1,606.80 = 454.96 : x
  2. Step 2: Convert to fraction form
    1,071.76/1,606.80 = 454.96/x
  3. Step 3: Cross multiply
    1,071.76x = 1,606.80 × 454.96
  4. Step 4: Simplify right side
    1,071.76x = 731,029.73
  5. Step 5: Solve for x
    x = 731,029.73/1,071.76
  6. Step 6: Final answer
    x = 682.08

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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.