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Finding the Fourth Proportional to 926.48, 1,279.01 and 716.18

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Solution

The fourth proportional to 926.48, 1,279.01 and 716.18 is: 988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,279.01 = 716.18 : x
  2. Step 2: Convert to fraction form
    926.48/1,279.01 = 716.18/x
  3. Step 3: Cross multiply
    926.48x = 1,279.01 × 716.18
  4. Step 4: Simplify right side
    926.48x = 915,999.94
  5. Step 5: Solve for x
    x = 915,999.94/926.48
  6. Step 6: Final answer
    x = 988.69

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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.