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Finding the Fourth Proportional to 1,016.18, 1,402.43 and 574.10

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Solution

The fourth proportional to 1,016.18, 1,402.43 and 574.10 is: 792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.18 : 1,402.43 = 574.10 : x
  2. Step 2: Convert to fraction form
    1,016.18/1,402.43 = 574.10/x
  3. Step 3: Cross multiply
    1,016.18x = 1,402.43 × 574.10
  4. Step 4: Simplify right side
    1,016.18x = 805,135.06
  5. Step 5: Solve for x
    x = 805,135.06/1,016.18
  6. Step 6: Final answer
    x = 792.32

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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.