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Finding the Fourth Proportional to 1,297.72, 1,946.91 and 507.09

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Solution

The fourth proportional to 1,297.72, 1,946.91 and 507.09 is: 760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.72 : 1,946.91 = 507.09 : x
  2. Step 2: Convert to fraction form
    1,297.72/1,946.91 = 507.09/x
  3. Step 3: Cross multiply
    1,297.72x = 1,946.91 × 507.09
  4. Step 4: Simplify right side
    1,297.72x = 987,267.79
  5. Step 5: Solve for x
    x = 987,267.79/1,297.72
  6. Step 6: Final answer
    x = 760.77

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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.