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Finding the Fourth Proportional to 1,025.37, 1,537.35 and 477.25

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Solution

The fourth proportional to 1,025.37, 1,537.35 and 477.25 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.37 : 1,537.35 = 477.25 : x
  2. Step 2: Convert to fraction form
    1,025.37/1,537.35 = 477.25/x
  3. Step 3: Cross multiply
    1,025.37x = 1,537.35 × 477.25
  4. Step 4: Simplify right side
    1,025.37x = 733,700.29
  5. Step 5: Solve for x
    x = 733,700.29/1,025.37
  6. Step 6: Final answer
    x = 715.55

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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.