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Finding the Fourth Proportional to 1,013.18, 1,520.82 and 623.45

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Solution

The fourth proportional to 1,013.18, 1,520.82 and 623.45 is: 935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.18 : 1,520.82 = 623.45 : x
  2. Step 2: Convert to fraction form
    1,013.18/1,520.82 = 623.45/x
  3. Step 3: Cross multiply
    1,013.18x = 1,520.82 × 623.45
  4. Step 4: Simplify right side
    1,013.18x = 948,155.23
  5. Step 5: Solve for x
    x = 948,155.23/1,013.18
  6. Step 6: Final answer
    x = 935.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.