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Finding the Fourth Proportional to 926.49, 1,277.51 and 693.21

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Solution

The fourth proportional to 926.49, 1,277.51 and 693.21 is: 955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.49 : 1,277.51 = 693.21 : x
  2. Step 2: Convert to fraction form
    926.49/1,277.51 = 693.21/x
  3. Step 3: Cross multiply
    926.49x = 1,277.51 × 693.21
  4. Step 4: Simplify right side
    926.49x = 885,579.24
  5. Step 5: Solve for x
    x = 885,579.24/926.49
  6. Step 6: Final answer
    x = 955.84

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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.