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Finding the Fourth Proportional to 925.83, 1,275.67 and 716.04

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Solution

The fourth proportional to 925.83, 1,275.67 and 716.04 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.83 : 1,275.67 = 716.04 : x
  2. Step 2: Convert to fraction form
    925.83/1,275.67 = 716.04/x
  3. Step 3: Cross multiply
    925.83x = 1,275.67 × 716.04
  4. Step 4: Simplify right side
    925.83x = 913,430.75
  5. Step 5: Solve for x
    x = 913,430.75/925.83
  6. Step 6: Final answer
    x = 986.61

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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.