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Finding the Fourth Proportional to 1,315.90, 1,973.36 and 438.24

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Solution

The fourth proportional to 1,315.90, 1,973.36 and 438.24 is: 657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.90 : 1,973.36 = 438.24 : x
  2. Step 2: Convert to fraction form
    1,315.90/1,973.36 = 438.24/x
  3. Step 3: Cross multiply
    1,315.90x = 1,973.36 × 438.24
  4. Step 4: Simplify right side
    1,315.90x = 864,797.13
  5. Step 5: Solve for x
    x = 864,797.13/1,315.90
  6. Step 6: Final answer
    x = 657.19

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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.