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Finding the Fourth Proportional to 1,298.98, 1,788.07 and 983.69

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Solution

The fourth proportional to 1,298.98, 1,788.07 and 983.69 is: 1,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.98 : 1,788.07 = 983.69 : x
  2. Step 2: Convert to fraction form
    1,298.98/1,788.07 = 983.69/x
  3. Step 3: Cross multiply
    1,298.98x = 1,788.07 × 983.69
  4. Step 4: Simplify right side
    1,298.98x = 1,758,892.72
  5. Step 5: Solve for x
    x = 1,758,892.72/1,298.98
  6. Step 6: Final answer
    x = 1,354.06

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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.