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Finding the Fourth Proportional to 1,297.48, 1,946.04 and 373.12

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Solution

The fourth proportional to 1,297.48, 1,946.04 and 373.12 is: 559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.48 : 1,946.04 = 373.12 : x
  2. Step 2: Convert to fraction form
    1,297.48/1,946.04 = 373.12/x
  3. Step 3: Cross multiply
    1,297.48x = 1,946.04 × 373.12
  4. Step 4: Simplify right side
    1,297.48x = 726,106.44
  5. Step 5: Solve for x
    x = 726,106.44/1,297.48
  6. Step 6: Final answer
    x = 559.63

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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.