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Finding the Fourth Proportional to 975.92, 1,345.37 and 765.27

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Solution

The fourth proportional to 975.92, 1,345.37 and 765.27 is: 1,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,345.37 = 765.27 : x
  2. Step 2: Convert to fraction form
    975.92/1,345.37 = 765.27/x
  3. Step 3: Cross multiply
    975.92x = 1,345.37 × 765.27
  4. Step 4: Simplify right side
    975.92x = 1,029,567.47
  5. Step 5: Solve for x
    x = 1,029,567.47/975.92
  6. Step 6: Final answer
    x = 1,054.98

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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.