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Finding the Fourth Proportional to 926.76, 1,277.18 and 664.32

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Solution

The fourth proportional to 926.76, 1,277.18 and 664.32 is: 915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,277.18 = 664.32 : x
  2. Step 2: Convert to fraction form
    926.76/1,277.18 = 664.32/x
  3. Step 3: Cross multiply
    926.76x = 1,277.18 × 664.32
  4. Step 4: Simplify right side
    926.76x = 848,456.22
  5. Step 5: Solve for x
    x = 848,456.22/926.76
  6. Step 6: Final answer
    x = 915.51

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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.