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Finding the Fourth Proportional to 1,297.06, 1,945.64 and 431.35

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Solution

The fourth proportional to 1,297.06, 1,945.64 and 431.35 is: 647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.06 : 1,945.64 = 431.35 : x
  2. Step 2: Convert to fraction form
    1,297.06/1,945.64 = 431.35/x
  3. Step 3: Cross multiply
    1,297.06x = 1,945.64 × 431.35
  4. Step 4: Simplify right side
    1,297.06x = 839,251.81
  5. Step 5: Solve for x
    x = 839,251.81/1,297.06
  6. Step 6: Final answer
    x = 647.04

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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.