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Finding the Fourth Proportional to 1,072.04, 1,605.48 and 583.88

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Solution

The fourth proportional to 1,072.04, 1,605.48 and 583.88 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.04 : 1,605.48 = 583.88 : x
  2. Step 2: Convert to fraction form
    1,072.04/1,605.48 = 583.88/x
  3. Step 3: Cross multiply
    1,072.04x = 1,605.48 × 583.88
  4. Step 4: Simplify right side
    1,072.04x = 937,407.66
  5. Step 5: Solve for x
    x = 937,407.66/1,072.04
  6. Step 6: Final answer
    x = 874.41

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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.