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Finding the Fourth Proportional to 1,315.63, 1,973.78 and 449.94

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Solution

The fourth proportional to 1,315.63, 1,973.78 and 449.94 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.63 : 1,973.78 = 449.94 : x
  2. Step 2: Convert to fraction form
    1,315.63/1,973.78 = 449.94/x
  3. Step 3: Cross multiply
    1,315.63x = 1,973.78 × 449.94
  4. Step 4: Simplify right side
    1,315.63x = 888,080.32
  5. Step 5: Solve for x
    x = 888,080.32/1,315.63
  6. Step 6: Final answer
    x = 675.03

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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.