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Finding the Fourth Proportional to 1,046.03, 1,443.56 and 692.26

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Solution

The fourth proportional to 1,046.03, 1,443.56 and 692.26 is: 955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.03 : 1,443.56 = 692.26 : x
  2. Step 2: Convert to fraction form
    1,046.03/1,443.56 = 692.26/x
  3. Step 3: Cross multiply
    1,046.03x = 1,443.56 × 692.26
  4. Step 4: Simplify right side
    1,046.03x = 999,308.17
  5. Step 5: Solve for x
    x = 999,308.17/1,046.03
  6. Step 6: Final answer
    x = 955.33

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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.