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Finding the Fourth Proportional to 1,223.33, 1,688.06 and 692.24

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Solution

The fourth proportional to 1,223.33, 1,688.06 and 692.24 is: 955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.33 : 1,688.06 = 692.24 : x
  2. Step 2: Convert to fraction form
    1,223.33/1,688.06 = 692.24/x
  3. Step 3: Cross multiply
    1,223.33x = 1,688.06 × 692.24
  4. Step 4: Simplify right side
    1,223.33x = 1,168,535.94
  5. Step 5: Solve for x
    x = 1,168,535.94/1,223.33
  6. Step 6: Final answer
    x = 955.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.