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Finding the Fourth Proportional to 1,038.12, 1,556.75 and 344.66

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Solution

The fourth proportional to 1,038.12, 1,556.75 and 344.66 is: 516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.12 : 1,556.75 = 344.66 : x
  2. Step 2: Convert to fraction form
    1,038.12/1,556.75 = 344.66/x
  3. Step 3: Cross multiply
    1,038.12x = 1,556.75 × 344.66
  4. Step 4: Simplify right side
    1,038.12x = 536,542.53
  5. Step 5: Solve for x
    x = 536,542.53/1,038.12
  6. Step 6: Final answer
    x = 516.84

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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.