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Finding the Fourth Proportional to 912.66, 1,259.48 and 713.71

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Solution

The fourth proportional to 912.66, 1,259.48 and 713.71 is: 984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.66 : 1,259.48 = 713.71 : x
  2. Step 2: Convert to fraction form
    912.66/1,259.48 = 713.71/x
  3. Step 3: Cross multiply
    912.66x = 1,259.48 × 713.71
  4. Step 4: Simplify right side
    912.66x = 898,903.47
  5. Step 5: Solve for x
    x = 898,903.47/912.66
  6. Step 6: Final answer
    x = 984.93

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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.