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Finding the Fourth Proportional to 1,270.16, 1,905.64 and 448.40

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Solution

The fourth proportional to 1,270.16, 1,905.64 and 448.40 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.16 : 1,905.64 = 448.40 : x
  2. Step 2: Convert to fraction form
    1,270.16/1,905.64 = 448.40/x
  3. Step 3: Cross multiply
    1,270.16x = 1,905.64 × 448.40
  4. Step 4: Simplify right side
    1,270.16x = 854,488.98
  5. Step 5: Solve for x
    x = 854,488.98/1,270.16
  6. Step 6: Final answer
    x = 672.74

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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.