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Finding the Fourth Proportional to 704.90, 1,057.12 and 339.46

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Solution

The fourth proportional to 704.90, 1,057.12 and 339.46 is: 509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.90 : 1,057.12 = 339.46 : x
  2. Step 2: Convert to fraction form
    704.90/1,057.12 = 339.46/x
  3. Step 3: Cross multiply
    704.90x = 1,057.12 × 339.46
  4. Step 4: Simplify right side
    704.90x = 358,849.96
  5. Step 5: Solve for x
    x = 358,849.96/704.90
  6. Step 6: Final answer
    x = 509.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.