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Finding the Fourth Proportional to 1,282.35, 1,769.65 and 692.89

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Solution

The fourth proportional to 1,282.35, 1,769.65 and 692.89 is: 956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.35 : 1,769.65 = 692.89 : x
  2. Step 2: Convert to fraction form
    1,282.35/1,769.65 = 692.89/x
  3. Step 3: Cross multiply
    1,282.35x = 1,769.65 × 692.89
  4. Step 4: Simplify right side
    1,282.35x = 1,226,173.27
  5. Step 5: Solve for x
    x = 1,226,173.27/1,282.35
  6. Step 6: Final answer
    x = 956.19

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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.