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Finding the Fourth Proportional to 1,354.78, 2,030.34 and 704.20

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Solution

The fourth proportional to 1,354.78, 2,030.34 and 704.20 is: 1,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.78 : 2,030.34 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,354.78/2,030.34 = 704.20/x
  3. Step 3: Cross multiply
    1,354.78x = 2,030.34 × 704.20
  4. Step 4: Simplify right side
    1,354.78x = 1,429,765.43
  5. Step 5: Solve for x
    x = 1,429,765.43/1,354.78
  6. Step 6: Final answer
    x = 1,055.35

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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.