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Finding the Fourth Proportional to 850.64, 1,172.40 and 692.93

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Solution

The fourth proportional to 850.64, 1,172.40 and 692.93 is: 955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.64 : 1,172.40 = 692.93 : x
  2. Step 2: Convert to fraction form
    850.64/1,172.40 = 692.93/x
  3. Step 3: Cross multiply
    850.64x = 1,172.40 × 692.93
  4. Step 4: Simplify right side
    850.64x = 812,391.13
  5. Step 5: Solve for x
    x = 812,391.13/850.64
  6. Step 6: Final answer
    x = 955.04

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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.