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Finding the Fourth Proportional to 1,025, 1,537.49 and 476.88

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Solution

The fourth proportional to 1,025, 1,537.49 and 476.88 is: 715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025 : 1,537.49 = 476.88 : x
  2. Step 2: Convert to fraction form
    1,025/1,537.49 = 476.88/x
  3. Step 3: Cross multiply
    1,025x = 1,537.49 × 476.88
  4. Step 4: Simplify right side
    1,025x = 733,188.16
  5. Step 5: Solve for x
    x = 733,188.16/1,025
  6. Step 6: Final answer
    x = 715.31

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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.