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Finding the Fourth Proportional to 1,295.92, 1,943.80 and 406.45

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Solution

The fourth proportional to 1,295.92, 1,943.80 and 406.45 is: 609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.92 : 1,943.80 = 406.45 : x
  2. Step 2: Convert to fraction form
    1,295.92/1,943.80 = 406.45/x
  3. Step 3: Cross multiply
    1,295.92x = 1,943.80 × 406.45
  4. Step 4: Simplify right side
    1,295.92x = 790,051.63
  5. Step 5: Solve for x
    x = 790,051.63/1,295.92
  6. Step 6: Final answer
    x = 609.65

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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.