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Finding the Fourth Proportional to 1,250.57, 1,875.40 and 428.63

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Solution

The fourth proportional to 1,250.57, 1,875.40 and 428.63 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.57 : 1,875.40 = 428.63 : x
  2. Step 2: Convert to fraction form
    1,250.57/1,875.40 = 428.63/x
  3. Step 3: Cross multiply
    1,250.57x = 1,875.40 × 428.63
  4. Step 4: Simplify right side
    1,250.57x = 803,842.25
  5. Step 5: Solve for x
    x = 803,842.25/1,250.57
  6. Step 6: Final answer
    x = 642.78

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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.