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Finding the Fourth Proportional to 692.58, 954.63 and 568.02

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Solution

The fourth proportional to 692.58, 954.63 and 568.02 is: 782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.58 : 954.63 = 568.02 : x
  2. Step 2: Convert to fraction form
    692.58/954.63 = 568.02/x
  3. Step 3: Cross multiply
    692.58x = 954.63 × 568.02
  4. Step 4: Simplify right side
    692.58x = 542,248.93
  5. Step 5: Solve for x
    x = 542,248.93/692.58
  6. Step 6: Final answer
    x = 782.94

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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.