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Finding the Fourth Proportional to 1,041.34, 1,436.26 and 621.66

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Solution

The fourth proportional to 1,041.34, 1,436.26 and 621.66 is: 857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.34 : 1,436.26 = 621.66 : x
  2. Step 2: Convert to fraction form
    1,041.34/1,436.26 = 621.66/x
  3. Step 3: Cross multiply
    1,041.34x = 1,436.26 × 621.66
  4. Step 4: Simplify right side
    1,041.34x = 892,865.39
  5. Step 5: Solve for x
    x = 892,865.39/1,041.34
  6. Step 6: Final answer
    x = 857.42

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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.