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Finding the Fourth Proportional to 1,296.31, 1,788.88 and 706.85

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Solution

The fourth proportional to 1,296.31, 1,788.88 and 706.85 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.31 : 1,788.88 = 706.85 : x
  2. Step 2: Convert to fraction form
    1,296.31/1,788.88 = 706.85/x
  3. Step 3: Cross multiply
    1,296.31x = 1,788.88 × 706.85
  4. Step 4: Simplify right side
    1,296.31x = 1,264,465.82
  5. Step 5: Solve for x
    x = 1,264,465.82/1,296.31
  6. Step 6: Final answer
    x = 975.44

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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.