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Finding the Fourth Proportional to 1,063.36, 1,467.44 and 597.61

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Solution

The fourth proportional to 1,063.36, 1,467.44 and 597.61 is: 824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.36 : 1,467.44 = 597.61 : x
  2. Step 2: Convert to fraction form
    1,063.36/1,467.44 = 597.61/x
  3. Step 3: Cross multiply
    1,063.36x = 1,467.44 × 597.61
  4. Step 4: Simplify right side
    1,063.36x = 876,953.83
  5. Step 5: Solve for x
    x = 876,953.83/1,063.36
  6. Step 6: Final answer
    x = 824.70

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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.