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Finding the Fourth Proportional to 1,438.99, 1,984.77 and 1,012.93

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Solution

The fourth proportional to 1,438.99, 1,984.77 and 1,012.93 is: 1,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.99 : 1,984.77 = 1,012.93 : x
  2. Step 2: Convert to fraction form
    1,438.99/1,984.77 = 1,012.93/x
  3. Step 3: Cross multiply
    1,438.99x = 1,984.77 × 1,012.93
  4. Step 4: Simplify right side
    1,438.99x = 2,010,428.11
  5. Step 5: Solve for x
    x = 2,010,428.11/1,438.99
  6. Step 6: Final answer
    x = 1,397.11

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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.