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Finding the Fourth Proportional to 1,315.33, 1,973.46 and 622.53

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Solution

The fourth proportional to 1,315.33, 1,973.46 and 622.53 is: 934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.33 : 1,973.46 = 622.53 : x
  2. Step 2: Convert to fraction form
    1,315.33/1,973.46 = 622.53/x
  3. Step 3: Cross multiply
    1,315.33x = 1,973.46 × 622.53
  4. Step 4: Simplify right side
    1,315.33x = 1,228,538.05
  5. Step 5: Solve for x
    x = 1,228,538.05/1,315.33
  6. Step 6: Final answer
    x = 934.02

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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.