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Finding the Fourth Proportional to 692.16, 1,032.06 and 615.84

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Solution

The fourth proportional to 692.16, 1,032.06 and 615.84 is: 918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 1,032.06 = 615.84 : x
  2. Step 2: Convert to fraction form
    692.16/1,032.06 = 615.84/x
  3. Step 3: Cross multiply
    692.16x = 1,032.06 × 615.84
  4. Step 4: Simplify right side
    692.16x = 635,583.83
  5. Step 5: Solve for x
    x = 635,583.83/692.16
  6. Step 6: Final answer
    x = 918.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.