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Finding the Fourth Proportional to 975.35, 1,345.27 and 620.92

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Solution

The fourth proportional to 975.35, 1,345.27 and 620.92 is: 856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.35 : 1,345.27 = 620.92 : x
  2. Step 2: Convert to fraction form
    975.35/1,345.27 = 620.92/x
  3. Step 3: Cross multiply
    975.35x = 1,345.27 × 620.92
  4. Step 4: Simplify right side
    975.35x = 835,302.46
  5. Step 5: Solve for x
    x = 835,302.46/975.35
  6. Step 6: Final answer
    x = 856.42

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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.