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Finding the Fourth Proportional to 692.44, 955.74 and 546.10

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Solution

The fourth proportional to 692.44, 955.74 and 546.10 is: 753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 955.74 = 546.10 : x
  2. Step 2: Convert to fraction form
    692.44/955.74 = 546.10/x
  3. Step 3: Cross multiply
    692.44x = 955.74 × 546.10
  4. Step 4: Simplify right side
    692.44x = 521,929.61
  5. Step 5: Solve for x
    x = 521,929.61/692.44
  6. Step 6: Final answer
    x = 753.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.