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Finding the Fourth Proportional to 1,204.99, 1,662.51 and 707.78

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Solution

The fourth proportional to 1,204.99, 1,662.51 and 707.78 is: 976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.99 : 1,662.51 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,204.99/1,662.51 = 707.78/x
  3. Step 3: Cross multiply
    1,204.99x = 1,662.51 × 707.78
  4. Step 4: Simplify right side
    1,204.99x = 1,176,691.33
  5. Step 5: Solve for x
    x = 1,176,691.33/1,204.99
  6. Step 6: Final answer
    x = 976.52

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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.