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Finding the Fourth Proportional to 1,297.50, 1,946.25 and 431.88

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Solution

The fourth proportional to 1,297.50, 1,946.25 and 431.88 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.50 : 1,946.25 = 431.88 : x
  2. Step 2: Convert to fraction form
    1,297.50/1,946.25 = 431.88/x
  3. Step 3: Cross multiply
    1,297.50x = 1,946.25 × 431.88
  4. Step 4: Simplify right side
    1,297.50x = 840,546.45
  5. Step 5: Solve for x
    x = 840,546.45/1,297.50
  6. Step 6: Final answer
    x = 647.82

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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.