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Finding the Fourth Proportional to 1,256.72, 1,885.30 and 434.77

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Solution

The fourth proportional to 1,256.72, 1,885.30 and 434.77 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.72 : 1,885.30 = 434.77 : x
  2. Step 2: Convert to fraction form
    1,256.72/1,885.30 = 434.77/x
  3. Step 3: Cross multiply
    1,256.72x = 1,885.30 × 434.77
  4. Step 4: Simplify right side
    1,256.72x = 819,667.30
  5. Step 5: Solve for x
    x = 819,667.30/1,256.72
  6. Step 6: Final answer
    x = 652.23

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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.