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Finding the Fourth Proportional to 1,296.95, 1,789.79 and 707.51

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Solution

The fourth proportional to 1,296.95, 1,789.79 and 707.51 is: 976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.95 : 1,789.79 = 707.51 : x
  2. Step 2: Convert to fraction form
    1,296.95/1,789.79 = 707.51/x
  3. Step 3: Cross multiply
    1,296.95x = 1,789.79 × 707.51
  4. Step 4: Simplify right side
    1,296.95x = 1,266,295.26
  5. Step 5: Solve for x
    x = 1,266,295.26/1,296.95
  6. Step 6: Final answer
    x = 976.37

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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.