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Finding the Fourth Proportional to 1,018.28, 1,405.14 and 576.11

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Solution

The fourth proportional to 1,018.28, 1,405.14 and 576.11 is: 794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.28 : 1,405.14 = 576.11 : x
  2. Step 2: Convert to fraction form
    1,018.28/1,405.14 = 576.11/x
  3. Step 3: Cross multiply
    1,018.28x = 1,405.14 × 576.11
  4. Step 4: Simplify right side
    1,018.28x = 809,515.21
  5. Step 5: Solve for x
    x = 809,515.21/1,018.28
  6. Step 6: Final answer
    x = 794.98

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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.