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Finding the Fourth Proportional to 1,312.89, 1,969.29 and 447.21

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Solution

The fourth proportional to 1,312.89, 1,969.29 and 447.21 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.89 : 1,969.29 = 447.21 : x
  2. Step 2: Convert to fraction form
    1,312.89/1,969.29 = 447.21/x
  3. Step 3: Cross multiply
    1,312.89x = 1,969.29 × 447.21
  4. Step 4: Simplify right side
    1,312.89x = 880,686.18
  5. Step 5: Solve for x
    x = 880,686.18/1,312.89
  6. Step 6: Final answer
    x = 670.80

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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.