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Finding the Fourth Proportional to 1,016.56, 1,402.14 and 623.74

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Solution

The fourth proportional to 1,016.56, 1,402.14 and 623.74 is: 860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.56 : 1,402.14 = 623.74 : x
  2. Step 2: Convert to fraction form
    1,016.56/1,402.14 = 623.74/x
  3. Step 3: Cross multiply
    1,016.56x = 1,402.14 × 623.74
  4. Step 4: Simplify right side
    1,016.56x = 874,570.80
  5. Step 5: Solve for x
    x = 874,570.80/1,016.56
  6. Step 6: Final answer
    x = 860.32

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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.