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Finding the Fourth Proportional to 1,256.85, 1,885.41 and 435.24

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Solution

The fourth proportional to 1,256.85, 1,885.41 and 435.24 is: 652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.85 : 1,885.41 = 435.24 : x
  2. Step 2: Convert to fraction form
    1,256.85/1,885.41 = 435.24/x
  3. Step 3: Cross multiply
    1,256.85x = 1,885.41 × 435.24
  4. Step 4: Simplify right side
    1,256.85x = 820,605.85
  5. Step 5: Solve for x
    x = 820,605.85/1,256.85
  6. Step 6: Final answer
    x = 652.91

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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.