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Finding the Fourth Proportional to 1,045.95, 1,443.44 and 573.87

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Solution

The fourth proportional to 1,045.95, 1,443.44 and 573.87 is: 791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,443.44 = 573.87 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,443.44 = 573.87/x
  3. Step 3: Cross multiply
    1,045.95x = 1,443.44 × 573.87
  4. Step 4: Simplify right side
    1,045.95x = 828,348.35
  5. Step 5: Solve for x
    x = 828,348.35/1,045.95
  6. Step 6: Final answer
    x = 791.96

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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.