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Finding the Fourth Proportional to 1,164.21, 1,606.44 and 692.31

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Solution

The fourth proportional to 1,164.21, 1,606.44 and 692.31 is: 955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.21 : 1,606.44 = 692.31 : x
  2. Step 2: Convert to fraction form
    1,164.21/1,606.44 = 692.31/x
  3. Step 3: Cross multiply
    1,164.21x = 1,606.44 × 692.31
  4. Step 4: Simplify right side
    1,164.21x = 1,112,154.48
  5. Step 5: Solve for x
    x = 1,112,154.48/1,164.21
  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.