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Finding the Fourth Proportional to 1,025.29, 1,537.92 and 284.90

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Solution

The fourth proportional to 1,025.29, 1,537.92 and 284.90 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.29 : 1,537.92 = 284.90 : x
  2. Step 2: Convert to fraction form
    1,025.29/1,537.92 = 284.90/x
  3. Step 3: Cross multiply
    1,025.29x = 1,537.92 × 284.90
  4. Step 4: Simplify right side
    1,025.29x = 438,157.25
  5. Step 5: Solve for x
    x = 438,157.25/1,025.29
  6. Step 6: Final answer
    x = 427.35

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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.