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Finding the Fourth Proportional to 1,315.79, 1,973.54 and 438.26

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Solution

The fourth proportional to 1,315.79, 1,973.54 and 438.26 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.79 : 1,973.54 = 438.26 : x
  2. Step 2: Convert to fraction form
    1,315.79/1,973.54 = 438.26/x
  3. Step 3: Cross multiply
    1,315.79x = 1,973.54 × 438.26
  4. Step 4: Simplify right side
    1,315.79x = 864,923.64
  5. Step 5: Solve for x
    x = 864,923.64/1,315.79
  6. Step 6: Final answer
    x = 657.34

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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.