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Finding the Fourth Proportional to 1,148.98, 1,720.59 and 906.82

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Solution

The fourth proportional to 1,148.98, 1,720.59 and 906.82 is: 1,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.98 : 1,720.59 = 906.82 : x
  2. Step 2: Convert to fraction form
    1,148.98/1,720.59 = 906.82/x
  3. Step 3: Cross multiply
    1,148.98x = 1,720.59 × 906.82
  4. Step 4: Simplify right side
    1,148.98x = 1,560,265.42
  5. Step 5: Solve for x
    x = 1,560,265.42/1,148.98
  6. Step 6: Final answer
    x = 1,357.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.