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Finding the Fourth Proportional to 1,018.24, 1,405.10 and 576.14

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Solution

The fourth proportional to 1,018.24, 1,405.10 and 576.14 is: 795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.24 : 1,405.10 = 576.14 : x
  2. Step 2: Convert to fraction form
    1,018.24/1,405.10 = 576.14/x
  3. Step 3: Cross multiply
    1,018.24x = 1,405.10 × 576.14
  4. Step 4: Simplify right side
    1,018.24x = 809,528.73
  5. Step 5: Solve for x
    x = 809,528.73/1,018.24
  6. Step 6: Final answer
    x = 795.03

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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.