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Finding the Fourth Proportional to 707.78, 976.74 and 412.99

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Solution

The fourth proportional to 707.78, 976.74 and 412.99 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 976.74 = 412.99 : x
  2. Step 2: Convert to fraction form
    707.78/976.74 = 412.99/x
  3. Step 3: Cross multiply
    707.78x = 976.74 × 412.99
  4. Step 4: Simplify right side
    707.78x = 403,383.85
  5. Step 5: Solve for x
    x = 403,383.85/707.78
  6. Step 6: Final answer
    x = 569.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.