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Finding the Fourth Proportional to 860.98, 1,292.00 and 374.07

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Solution

The fourth proportional to 860.98, 1,292.00 and 374.07 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.98 : 1,292.00 = 374.07 : x
  2. Step 2: Convert to fraction form
    860.98/1,292.00 = 374.07/x
  3. Step 3: Cross multiply
    860.98x = 1,292.00 × 374.07
  4. Step 4: Simplify right side
    860.98x = 483,296.25
  5. Step 5: Solve for x
    x = 483,296.25/860.98
  6. Step 6: Final answer
    x = 561.33

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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.