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Finding the Fourth Proportional to 1,063.29, 1,467.47 and 597.54

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Solution

The fourth proportional to 1,063.29, 1,467.47 and 597.54 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.29 : 1,467.47 = 597.54 : x
  2. Step 2: Convert to fraction form
    1,063.29/1,467.47 = 597.54/x
  3. Step 3: Cross multiply
    1,063.29x = 1,467.47 × 597.54
  4. Step 4: Simplify right side
    1,063.29x = 876,872.02
  5. Step 5: Solve for x
    x = 876,872.02/1,063.29
  6. Step 6: Final answer
    x = 824.68

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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.