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Finding the Fourth Proportional to 1,014.32, 1,400.29 and 621.57

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Solution

The fourth proportional to 1,014.32, 1,400.29 and 621.57 is: 858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.32 : 1,400.29 = 621.57 : x
  2. Step 2: Convert to fraction form
    1,014.32/1,400.29 = 621.57/x
  3. Step 3: Cross multiply
    1,014.32x = 1,400.29 × 621.57
  4. Step 4: Simplify right side
    1,014.32x = 870,381.95
  5. Step 5: Solve for x
    x = 870,381.95/1,014.32
  6. Step 6: Final answer
    x = 858.09

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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.