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Finding the Fourth Proportional to 1,257.30, 1,884.74 and 434.96

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Solution

The fourth proportional to 1,257.30, 1,884.74 and 434.96 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.30 : 1,884.74 = 434.96 : x
  2. Step 2: Convert to fraction form
    1,257.30/1,884.74 = 434.96/x
  3. Step 3: Cross multiply
    1,257.30x = 1,884.74 × 434.96
  4. Step 4: Simplify right side
    1,257.30x = 819,774.91
  5. Step 5: Solve for x
    x = 819,774.91/1,257.30
  6. Step 6: Final answer
    x = 652.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.