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Finding the Fourth Proportional to 1,252.19, 1,875.37 and 634.40

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Solution

The fourth proportional to 1,252.19, 1,875.37 and 634.40 is: 950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.19 : 1,875.37 = 634.40 : x
  2. Step 2: Convert to fraction form
    1,252.19/1,875.37 = 634.40/x
  3. Step 3: Cross multiply
    1,252.19x = 1,875.37 × 634.40
  4. Step 4: Simplify right side
    1,252.19x = 1,189,731.99
  5. Step 5: Solve for x
    x = 1,189,731.99/1,252.19
  6. Step 6: Final answer
    x = 950.12

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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.