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Finding the Fourth Proportional to 1,016.71, 1,403.07 and 574.62

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Solution

The fourth proportional to 1,016.71, 1,403.07 and 574.62 is: 792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.71 : 1,403.07 = 574.62 : x
  2. Step 2: Convert to fraction form
    1,016.71/1,403.07 = 574.62/x
  3. Step 3: Cross multiply
    1,016.71x = 1,403.07 × 574.62
  4. Step 4: Simplify right side
    1,016.71x = 806,225.07
  5. Step 5: Solve for x
    x = 806,225.07/1,016.71
  6. Step 6: Final answer
    x = 792.98

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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.