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Finding the Fourth Proportional to 1,025.59, 1,534.87 and 635.44

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Solution

The fourth proportional to 1,025.59, 1,534.87 and 635.44 is: 950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.59 : 1,534.87 = 635.44 : x
  2. Step 2: Convert to fraction form
    1,025.59/1,534.87 = 635.44/x
  3. Step 3: Cross multiply
    1,025.59x = 1,534.87 × 635.44
  4. Step 4: Simplify right side
    1,025.59x = 975,317.79
  5. Step 5: Solve for x
    x = 975,317.79/1,025.59
  6. Step 6: Final answer
    x = 950.98

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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.