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Finding the Fourth Proportional to 1,018.21, 1,405.19 and 570.07

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Solution

The fourth proportional to 1,018.21, 1,405.19 and 570.07 is: 786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.21 : 1,405.19 = 570.07 : x
  2. Step 2: Convert to fraction form
    1,018.21/1,405.19 = 570.07/x
  3. Step 3: Cross multiply
    1,018.21x = 1,405.19 × 570.07
  4. Step 4: Simplify right side
    1,018.21x = 801,057.38
  5. Step 5: Solve for x
    x = 801,057.38/1,018.21
  6. Step 6: Final answer
    x = 786.73

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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.