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Finding the Fourth Proportional to 1,305.24, 1,957.65 and 427.74

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Solution

The fourth proportional to 1,305.24, 1,957.65 and 427.74 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.24 : 1,957.65 = 427.74 : x
  2. Step 2: Convert to fraction form
    1,305.24/1,957.65 = 427.74/x
  3. Step 3: Cross multiply
    1,305.24x = 1,957.65 × 427.74
  4. Step 4: Simplify right side
    1,305.24x = 837,365.21
  5. Step 5: Solve for x
    x = 837,365.21/1,305.24
  6. Step 6: Final answer
    x = 641.54

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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.