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Finding the Fourth Proportional to 832.12, 1,148.43 and 692.00

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Solution

The fourth proportional to 832.12, 1,148.43 and 692.00 is: 955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.12 : 1,148.43 = 692.00 : x
  2. Step 2: Convert to fraction form
    832.12/1,148.43 = 692.00/x
  3. Step 3: Cross multiply
    832.12x = 1,148.43 × 692.00
  4. Step 4: Simplify right side
    832.12x = 794,707.82
  5. Step 5: Solve for x
    x = 794,707.82/832.12
  6. Step 6: Final answer
    x = 955.04

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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.