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Finding the Fourth Proportional to 1,014.78, 1,527.70 and 692.18

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Solution

The fourth proportional to 1,014.78, 1,527.70 and 692.18 is: 1,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.78 : 1,527.70 = 692.18 : x
  2. Step 2: Convert to fraction form
    1,014.78/1,527.70 = 692.18/x
  3. Step 3: Cross multiply
    1,014.78x = 1,527.70 × 692.18
  4. Step 4: Simplify right side
    1,014.78x = 1,057,443.39
  5. Step 5: Solve for x
    x = 1,057,443.39/1,014.78
  6. Step 6: Final answer
    x = 1,042.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.