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Finding the Fourth Proportional to 712.36, 1,075.75 and 712.36

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Solution

The fourth proportional to 712.36, 1,075.75 and 712.36 is: 1,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 1,075.75 = 712.36 : x
  2. Step 2: Convert to fraction form
    712.36/1,075.75 = 712.36/x
  3. Step 3: Cross multiply
    712.36x = 1,075.75 × 712.36
  4. Step 4: Simplify right side
    712.36x = 766,321.27
  5. Step 5: Solve for x
    x = 766,321.27/712.36
  6. Step 6: Final answer
    x = 1,075.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.