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Finding the Fourth Proportional to 1,103.80, 1,647.59 and 1,030.84

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Solution

The fourth proportional to 1,103.80, 1,647.59 and 1,030.84 is: 1,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.80 : 1,647.59 = 1,030.84 : x
  2. Step 2: Convert to fraction form
    1,103.80/1,647.59 = 1,030.84/x
  3. Step 3: Cross multiply
    1,103.80x = 1,647.59 × 1,030.84
  4. Step 4: Simplify right side
    1,103.80x = 1,698,401.68
  5. Step 5: Solve for x
    x = 1,698,401.68/1,103.80
  6. Step 6: Final answer
    x = 1,538.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.