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Finding the Fourth Proportional to 1,018.56, 1,405.62 and 576.45

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Solution

The fourth proportional to 1,018.56, 1,405.62 and 576.45 is: 795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.56 : 1,405.62 = 576.45 : x
  2. Step 2: Convert to fraction form
    1,018.56/1,405.62 = 576.45/x
  3. Step 3: Cross multiply
    1,018.56x = 1,405.62 × 576.45
  4. Step 4: Simplify right side
    1,018.56x = 810,269.65
  5. Step 5: Solve for x
    x = 810,269.65/1,018.56
  6. Step 6: Final answer
    x = 795.51

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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.