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Finding the Fourth Proportional to 1,070.67, 1,604.56 and 484.94

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Solution

The fourth proportional to 1,070.67, 1,604.56 and 484.94 is: 726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.67 : 1,604.56 = 484.94 : x
  2. Step 2: Convert to fraction form
    1,070.67/1,604.56 = 484.94/x
  3. Step 3: Cross multiply
    1,070.67x = 1,604.56 × 484.94
  4. Step 4: Simplify right side
    1,070.67x = 778,112.90
  5. Step 5: Solve for x
    x = 778,112.90/1,070.67
  6. Step 6: Final answer
    x = 726.75

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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.