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Finding the Fourth Proportional to 1,164.94, 1,607.28 and 692.83

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Solution

The fourth proportional to 1,164.94, 1,607.28 and 692.83 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.94 : 1,607.28 = 692.83 : x
  2. Step 2: Convert to fraction form
    1,164.94/1,607.28 = 692.83/x
  3. Step 3: Cross multiply
    1,164.94x = 1,607.28 × 692.83
  4. Step 4: Simplify right side
    1,164.94x = 1,113,571.80
  5. Step 5: Solve for x
    x = 1,113,571.80/1,164.94
  6. Step 6: Final answer
    x = 955.90

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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.