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Finding the Fourth Proportional to 1,057.24, 1,585.45 and 623.89

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Solution

The fourth proportional to 1,057.24, 1,585.45 and 623.89 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,585.45 = 623.89 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,585.45 = 623.89/x
  3. Step 3: Cross multiply
    1,057.24x = 1,585.45 × 623.89
  4. Step 4: Simplify right side
    1,057.24x = 989,146.40
  5. Step 5: Solve for x
    x = 989,146.40/1,057.24
  6. Step 6: Final answer
    x = 935.59

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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.