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Finding the Fourth Proportional to 1,315.71, 1,973.66 and 438.18

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Solution

The fourth proportional to 1,315.71, 1,973.66 and 438.18 is: 657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.71 : 1,973.66 = 438.18 : x
  2. Step 2: Convert to fraction form
    1,315.71/1,973.66 = 438.18/x
  3. Step 3: Cross multiply
    1,315.71x = 1,973.66 × 438.18
  4. Step 4: Simplify right side
    1,315.71x = 864,809.57
  5. Step 5: Solve for x
    x = 864,809.57/1,315.71
  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.