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Finding the Fourth Proportional to 692.48, 1,038.76 and 259.64

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Solution

The fourth proportional to 692.48, 1,038.76 and 259.64 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.48 : 1,038.76 = 259.64 : x
  2. Step 2: Convert to fraction form
    692.48/1,038.76 = 259.64/x
  3. Step 3: Cross multiply
    692.48x = 1,038.76 × 259.64
  4. Step 4: Simplify right side
    692.48x = 269,703.65
  5. Step 5: Solve for x
    x = 269,703.65/692.48
  6. Step 6: Final answer
    x = 389.47

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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.