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Finding the Fourth Proportional to 860.01, 1,285.10 and 583.80

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Solution

The fourth proportional to 860.01, 1,285.10 and 583.80 is: 872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.01 : 1,285.10 = 583.80 : x
  2. Step 2: Convert to fraction form
    860.01/1,285.10 = 583.80/x
  3. Step 3: Cross multiply
    860.01x = 1,285.10 × 583.80
  4. Step 4: Simplify right side
    860.01x = 750,238.46
  5. Step 5: Solve for x
    x = 750,238.46/860.01
  6. Step 6: Final answer
    x = 872.36

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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.