Home / 1,024.17-1,412.57-692.54

Finding the Fourth Proportional to 1,024.17, 1,412.57 and 692.54

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Solution

The fourth proportional to 1,024.17, 1,412.57 and 692.54 is: 955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.17 : 1,412.57 = 692.54 : x
  2. Step 2: Convert to fraction form
    1,024.17/1,412.57 = 692.54/x
  3. Step 3: Cross multiply
    1,024.17x = 1,412.57 × 692.54
  4. Step 4: Simplify right side
    1,024.17x = 978,261.23
  5. Step 5: Solve for x
    x = 978,261.23/1,024.17
  6. Step 6: Final answer
    x = 955.17

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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.