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Finding the Fourth Proportional to 1,315.75, 1,973.72 and 438.22

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Solution

The fourth proportional to 1,315.75, 1,973.72 and 438.22 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.75 : 1,973.72 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,315.75/1,973.72 = 438.22/x
  3. Step 3: Cross multiply
    1,315.75x = 1,973.72 × 438.22
  4. Step 4: Simplify right side
    1,315.75x = 864,923.58
  5. Step 5: Solve for x
    x = 864,923.58/1,315.75
  6. Step 6: Final answer
    x = 657.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.