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Finding the Fourth Proportional to 1,024.65, 1,412.24 and 692.96

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Solution

The fourth proportional to 1,024.65, 1,412.24 and 692.96 is: 955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,412.24 = 692.96 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,412.24 = 692.96/x
  3. Step 3: Cross multiply
    1,024.65x = 1,412.24 × 692.96
  4. Step 4: Simplify right side
    1,024.65x = 978,615.30
  5. Step 5: Solve for x
    x = 978,615.30/1,024.65
  6. Step 6: Final answer
    x = 955.07

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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.