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Finding the Fourth Proportional to 1,072.89, 1,607.49 and 524.31

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Solution

The fourth proportional to 1,072.89, 1,607.49 and 524.31 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.89 : 1,607.49 = 524.31 : x
  2. Step 2: Convert to fraction form
    1,072.89/1,607.49 = 524.31/x
  3. Step 3: Cross multiply
    1,072.89x = 1,607.49 × 524.31
  4. Step 4: Simplify right side
    1,072.89x = 842,823.08
  5. Step 5: Solve for x
    x = 842,823.08/1,072.89
  6. Step 6: Final answer
    x = 785.56

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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.