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Finding the Fourth Proportional to 1,312.80, 1,969.68 and 447.36

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Solution

The fourth proportional to 1,312.80, 1,969.68 and 447.36 is: 671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.80 : 1,969.68 = 447.36 : x
  2. Step 2: Convert to fraction form
    1,312.80/1,969.68 = 447.36/x
  3. Step 3: Cross multiply
    1,312.80x = 1,969.68 × 447.36
  4. Step 4: Simplify right side
    1,312.80x = 881,156.04
  5. Step 5: Solve for x
    x = 881,156.04/1,312.80
  6. Step 6: Final answer
    x = 671.20

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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.