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Finding the Fourth Proportional to 1,315.07, 1,813.29 and 982.93

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Solution

The fourth proportional to 1,315.07, 1,813.29 and 982.93 is: 1,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.07 : 1,813.29 = 982.93 : x
  2. Step 2: Convert to fraction form
    1,315.07/1,813.29 = 982.93/x
  3. Step 3: Cross multiply
    1,315.07x = 1,813.29 × 982.93
  4. Step 4: Simplify right side
    1,315.07x = 1,782,337.14
  5. Step 5: Solve for x
    x = 1,782,337.14/1,315.07
  6. Step 6: Final answer
    x = 1,355.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.