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Finding the Fourth Proportional to 1,315.85, 1,973.52 and 438.26

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Solution

The fourth proportional to 1,315.85, 1,973.52 and 438.26 is: 657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.85 : 1,973.52 = 438.26 : x
  2. Step 2: Convert to fraction form
    1,315.85/1,973.52 = 438.26/x
  3. Step 3: Cross multiply
    1,315.85x = 1,973.52 × 438.26
  4. Step 4: Simplify right side
    1,315.85x = 864,905.01
  5. Step 5: Solve for x
    x = 864,905.01/1,315.85
  6. Step 6: Final answer
    x = 657.30

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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.