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Finding the Fourth Proportional to 692.99, 1,038.64 and 302.82

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Solution

The fourth proportional to 692.99, 1,038.64 and 302.82 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.99 : 1,038.64 = 302.82 : x
  2. Step 2: Convert to fraction form
    692.99/1,038.64 = 302.82/x
  3. Step 3: Cross multiply
    692.99x = 1,038.64 × 302.82
  4. Step 4: Simplify right side
    692.99x = 314,518.37
  5. Step 5: Solve for x
    x = 314,518.37/692.99
  6. Step 6: Final answer
    x = 453.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.