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Finding the Fourth Proportional to 1,257.00, 1,884.72 and 435.34

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Solution

The fourth proportional to 1,257.00, 1,884.72 and 435.34 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.00 : 1,884.72 = 435.34 : x
  2. Step 2: Convert to fraction form
    1,257.00/1,884.72 = 435.34/x
  3. Step 3: Cross multiply
    1,257.00x = 1,884.72 × 435.34
  4. Step 4: Simplify right side
    1,257.00x = 820,502.07
  5. Step 5: Solve for x
    x = 820,502.07/1,257.00
  6. Step 6: Final answer
    x = 652.74

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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.