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Finding the Fourth Proportional to 1,016.80, 1,402.76 and 624.05

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Solution

The fourth proportional to 1,016.80, 1,402.76 and 624.05 is: 860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.80 : 1,402.76 = 624.05 : x
  2. Step 2: Convert to fraction form
    1,016.80/1,402.76 = 624.05/x
  3. Step 3: Cross multiply
    1,016.80x = 1,402.76 × 624.05
  4. Step 4: Simplify right side
    1,016.80x = 875,392.38
  5. Step 5: Solve for x
    x = 875,392.38/1,016.80
  6. Step 6: Final answer
    x = 860.93

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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.