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Finding the Fourth Proportional to 1,158, 1,598.04 and 692.36

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Solution

The fourth proportional to 1,158, 1,598.04 and 692.36 is: 955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158 : 1,598.04 = 692.36 : x
  2. Step 2: Convert to fraction form
    1,158/1,598.04 = 692.36/x
  3. Step 3: Cross multiply
    1,158x = 1,598.04 × 692.36
  4. Step 4: Simplify right side
    1,158x = 1,106,418.97
  5. Step 5: Solve for x
    x = 1,106,418.97/1,158
  6. Step 6: Final answer
    x = 955.46

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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.