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Finding the Fourth Proportional to 1,070.49, 1,605.83 and 377.09

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Solution

The fourth proportional to 1,070.49, 1,605.83 and 377.09 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.49 : 1,605.83 = 377.09 : x
  2. Step 2: Convert to fraction form
    1,070.49/1,605.83 = 377.09/x
  3. Step 3: Cross multiply
    1,070.49x = 1,605.83 × 377.09
  4. Step 4: Simplify right side
    1,070.49x = 605,532.52
  5. Step 5: Solve for x
    x = 605,532.52/1,070.49
  6. Step 6: Final answer
    x = 565.66

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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.