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Finding the Fourth Proportional to 1,303.97, 1,954.62 and 573.41

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Solution

The fourth proportional to 1,303.97, 1,954.62 and 573.41 is: 859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.97 : 1,954.62 = 573.41 : x
  2. Step 2: Convert to fraction form
    1,303.97/1,954.62 = 573.41/x
  3. Step 3: Cross multiply
    1,303.97x = 1,954.62 × 573.41
  4. Step 4: Simplify right side
    1,303.97x = 1,120,798.65
  5. Step 5: Solve for x
    x = 1,120,798.65/1,303.97
  6. Step 6: Final answer
    x = 859.53

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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.