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Finding the Fourth Proportional to 1,063.63, 1,467.96 and 621.77

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Solution

The fourth proportional to 1,063.63, 1,467.96 and 621.77 is: 858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.63 : 1,467.96 = 621.77 : x
  2. Step 2: Convert to fraction form
    1,063.63/1,467.96 = 621.77/x
  3. Step 3: Cross multiply
    1,063.63x = 1,467.96 × 621.77
  4. Step 4: Simplify right side
    1,063.63x = 912,733.49
  5. Step 5: Solve for x
    x = 912,733.49/1,063.63
  6. Step 6: Final answer
    x = 858.13

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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.