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Finding the Fourth Proportional to 692.64, 954.18 and 562.50

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Solution

The fourth proportional to 692.64, 954.18 and 562.50 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 954.18 = 562.50 : x
  2. Step 2: Convert to fraction form
    692.64/954.18 = 562.50/x
  3. Step 3: Cross multiply
    692.64x = 954.18 × 562.50
  4. Step 4: Simplify right side
    692.64x = 536,726.25
  5. Step 5: Solve for x
    x = 536,726.25/692.64
  6. Step 6: Final answer
    x = 774.90

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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.