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Finding the Fourth Proportional to 1,045.69, 1,443.04 and 573.59

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Solution

The fourth proportional to 1,045.69, 1,443.04 and 573.59 is: 791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.69 : 1,443.04 = 573.59 : x
  2. Step 2: Convert to fraction form
    1,045.69/1,443.04 = 573.59/x
  3. Step 3: Cross multiply
    1,045.69x = 1,443.04 × 573.59
  4. Step 4: Simplify right side
    1,045.69x = 827,710.60
  5. Step 5: Solve for x
    x = 827,710.60/1,045.69
  6. Step 6: Final answer
    x = 791.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.