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Finding the Fourth Proportional to 692.48, 1,038.77 and 259.63

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Solution

The fourth proportional to 692.48, 1,038.77 and 259.63 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.48 : 1,038.77 = 259.63 : x
  2. Step 2: Convert to fraction form
    692.48/1,038.77 = 259.63/x
  3. Step 3: Cross multiply
    692.48x = 1,038.77 × 259.63
  4. Step 4: Simplify right side
    692.48x = 269,695.86
  5. Step 5: Solve for x
    x = 269,695.86/692.48
  6. Step 6: Final answer
    x = 389.46

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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.