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Finding the Fourth Proportional to 1,018.49, 1,405.43 and 576.30

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Solution

The fourth proportional to 1,018.49, 1,405.43 and 576.30 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.49 : 1,405.43 = 576.30 : x
  2. Step 2: Convert to fraction form
    1,018.49/1,405.43 = 576.30/x
  3. Step 3: Cross multiply
    1,018.49x = 1,405.43 × 576.30
  4. Step 4: Simplify right side
    1,018.49x = 809,946.43
  5. Step 5: Solve for x
    x = 809,946.43/1,018.49
  6. Step 6: Final answer
    x = 795.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.