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Finding the Fourth Proportional to 670.44, 1,000.71 and 583.56

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Solution

The fourth proportional to 670.44, 1,000.71 and 583.56 is: 871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.44 : 1,000.71 = 583.56 : x
  2. Step 2: Convert to fraction form
    670.44/1,000.71 = 583.56/x
  3. Step 3: Cross multiply
    670.44x = 1,000.71 × 583.56
  4. Step 4: Simplify right side
    670.44x = 583,974.33
  5. Step 5: Solve for x
    x = 583,974.33/670.44
  6. Step 6: Final answer
    x = 871.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.