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Finding the Fourth Proportional to 692.02, 954.20 and 565.80

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Solution

The fourth proportional to 692.02, 954.20 and 565.80 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 954.20 = 565.80 : x
  2. Step 2: Convert to fraction form
    692.02/954.20 = 565.80/x
  3. Step 3: Cross multiply
    692.02x = 954.20 × 565.80
  4. Step 4: Simplify right side
    692.02x = 539,886.36
  5. Step 5: Solve for x
    x = 539,886.36/692.02
  6. Step 6: Final answer
    x = 780.16

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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.