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Finding the Fourth Proportional to 1,063.23, 1,467.62 and 732.75

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Solution

The fourth proportional to 1,063.23, 1,467.62 and 732.75 is: 1,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.23 : 1,467.62 = 732.75 : x
  2. Step 2: Convert to fraction form
    1,063.23/1,467.62 = 732.75/x
  3. Step 3: Cross multiply
    1,063.23x = 1,467.62 × 732.75
  4. Step 4: Simplify right side
    1,063.23x = 1,075,398.56
  5. Step 5: Solve for x
    x = 1,075,398.56/1,063.23
  6. Step 6: Final answer
    x = 1,011.44

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1.5x scale

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.