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Finding the Fourth Proportional to 1,016.46, 1,402.62 and 574.40

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Solution

The fourth proportional to 1,016.46, 1,402.62 and 574.40 is: 792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,402.62 = 574.40 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,402.62 = 574.40/x
  3. Step 3: Cross multiply
    1,016.46x = 1,402.62 × 574.40
  4. Step 4: Simplify right side
    1,016.46x = 805,657.91
  5. Step 5: Solve for x
    x = 805,657.91/1,016.46
  6. Step 6: Final answer
    x = 792.61

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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.