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Finding the Fourth Proportional to 1,250.25, 1,875.71 and 428.59

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Solution

The fourth proportional to 1,250.25, 1,875.71 and 428.59 is: 643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.25 : 1,875.71 = 428.59 : x
  2. Step 2: Convert to fraction form
    1,250.25/1,875.71 = 428.59/x
  3. Step 3: Cross multiply
    1,250.25x = 1,875.71 × 428.59
  4. Step 4: Simplify right side
    1,250.25x = 803,910.55
  5. Step 5: Solve for x
    x = 803,910.55/1,250.25
  6. Step 6: Final answer
    x = 643.00

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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.