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Finding the Fourth Proportional to 1,312.98, 1,969.44 and 447.30

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Solution

The fourth proportional to 1,312.98, 1,969.44 and 447.30 is: 670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.98 : 1,969.44 = 447.30 : x
  2. Step 2: Convert to fraction form
    1,312.98/1,969.44 = 447.30/x
  3. Step 3: Cross multiply
    1,312.98x = 1,969.44 × 447.30
  4. Step 4: Simplify right side
    1,312.98x = 880,930.51
  5. Step 5: Solve for x
    x = 880,930.51/1,312.98
  6. Step 6: Final answer
    x = 670.94

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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.