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Finding the Fourth Proportional to 1,018.89, 1,405.98 and 576.83

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Solution

The fourth proportional to 1,018.89, 1,405.98 and 576.83 is: 795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.89 : 1,405.98 = 576.83 : x
  2. Step 2: Convert to fraction form
    1,018.89/1,405.98 = 576.83/x
  3. Step 3: Cross multiply
    1,018.89x = 1,405.98 × 576.83
  4. Step 4: Simplify right side
    1,018.89x = 811,014.96
  5. Step 5: Solve for x
    x = 811,014.96/1,018.89
  6. Step 6: Final answer
    x = 795.98

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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.