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Finding the Fourth Proportional to 1,111.46, 1,534.68 and 692.42

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Solution

The fourth proportional to 1,111.46, 1,534.68 and 692.42 is: 956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.46 : 1,534.68 = 692.42 : x
  2. Step 2: Convert to fraction form
    1,111.46/1,534.68 = 692.42/x
  3. Step 3: Cross multiply
    1,111.46x = 1,534.68 × 692.42
  4. Step 4: Simplify right side
    1,111.46x = 1,062,643.13
  5. Step 5: Solve for x
    x = 1,062,643.13/1,111.46
  6. Step 6: Final answer
    x = 956.08

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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.