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Finding the Fourth Proportional to 1,063.64, 1,467.96 and 597.98

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Solution

The fourth proportional to 1,063.64, 1,467.96 and 597.98 is: 825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.64 : 1,467.96 = 597.98 : x
  2. Step 2: Convert to fraction form
    1,063.64/1,467.96 = 597.98/x
  3. Step 3: Cross multiply
    1,063.64x = 1,467.96 × 597.98
  4. Step 4: Simplify right side
    1,063.64x = 877,810.72
  5. Step 5: Solve for x
    x = 877,810.72/1,063.64
  6. Step 6: Final answer
    x = 825.29

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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.