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Finding the Fourth Proportional to 1,305.21, 1,960.10 and 976.25

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Solution

The fourth proportional to 1,305.21, 1,960.10 and 976.25 is: 1,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.21 : 1,960.10 = 976.25 : x
  2. Step 2: Convert to fraction form
    1,305.21/1,960.10 = 976.25/x
  3. Step 3: Cross multiply
    1,305.21x = 1,960.10 × 976.25
  4. Step 4: Simplify right side
    1,305.21x = 1,913,551.30
  5. Step 5: Solve for x
    x = 1,913,551.30/1,305.21
  6. Step 6: Final answer
    x = 1,466.08

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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.