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Finding the Fourth Proportional to 1,063.07, 1,467.03 and 597.32

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Solution

The fourth proportional to 1,063.07, 1,467.03 and 597.32 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.07 : 1,467.03 = 597.32 : x
  2. Step 2: Convert to fraction form
    1,063.07/1,467.03 = 597.32/x
  3. Step 3: Cross multiply
    1,063.07x = 1,467.03 × 597.32
  4. Step 4: Simplify right side
    1,063.07x = 876,286.36
  5. Step 5: Solve for x
    x = 876,286.36/1,063.07
  6. Step 6: Final answer
    x = 824.30

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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.