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Finding the Fourth Proportional to 1,046.22, 1,443.98 and 692.15

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Solution

The fourth proportional to 1,046.22, 1,443.98 and 692.15 is: 955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.22 : 1,443.98 = 692.15 : x
  2. Step 2: Convert to fraction form
    1,046.22/1,443.98 = 692.15/x
  3. Step 3: Cross multiply
    1,046.22x = 1,443.98 × 692.15
  4. Step 4: Simplify right side
    1,046.22x = 999,441.37
  5. Step 5: Solve for x
    x = 999,441.37/1,046.22
  6. Step 6: Final answer
    x = 955.29

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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.