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Finding the Fourth Proportional to 1,315.32, 1,973.08 and 449.62

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Solution

The fourth proportional to 1,315.32, 1,973.08 and 449.62 is: 674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,973.08 = 449.62 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,973.08 = 449.62/x
  3. Step 3: Cross multiply
    1,315.32x = 1,973.08 × 449.62
  4. Step 4: Simplify right side
    1,315.32x = 887,136.23
  5. Step 5: Solve for x
    x = 887,136.23/1,315.32
  6. Step 6: Final answer
    x = 674.46

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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.