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Finding the Fourth Proportional to 1,315.26, 1,973.19 and 390.82

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Solution

The fourth proportional to 1,315.26, 1,973.19 and 390.82 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.26 : 1,973.19 = 390.82 : x
  2. Step 2: Convert to fraction form
    1,315.26/1,973.19 = 390.82/x
  3. Step 3: Cross multiply
    1,315.26x = 1,973.19 × 390.82
  4. Step 4: Simplify right side
    1,315.26x = 771,162.12
  5. Step 5: Solve for x
    x = 771,162.12/1,315.26
  6. Step 6: Final answer
    x = 586.32

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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.