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Finding the Fourth Proportional to 1,070.27, 1,605.50 and 420.85

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Solution

The fourth proportional to 1,070.27, 1,605.50 and 420.85 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.27 : 1,605.50 = 420.85 : x
  2. Step 2: Convert to fraction form
    1,070.27/1,605.50 = 420.85/x
  3. Step 3: Cross multiply
    1,070.27x = 1,605.50 × 420.85
  4. Step 4: Simplify right side
    1,070.27x = 675,668.56
  5. Step 5: Solve for x
    x = 675,668.56/1,070.27
  6. Step 6: Final answer
    x = 631.31

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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.