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Finding the Fourth Proportional to 1,018.70, 1,405.82 and 576.62

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Solution

The fourth proportional to 1,018.70, 1,405.82 and 576.62 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.70 : 1,405.82 = 576.62 : x
  2. Step 2: Convert to fraction form
    1,018.70/1,405.82 = 576.62/x
  3. Step 3: Cross multiply
    1,018.70x = 1,405.82 × 576.62
  4. Step 4: Simplify right side
    1,018.70x = 810,614.02
  5. Step 5: Solve for x
    x = 810,614.02/1,018.70
  6. Step 6: Final answer
    x = 795.74

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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.