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Finding the Fourth Proportional to 926.53, 1,277.03 and 848.06

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Solution

The fourth proportional to 926.53, 1,277.03 and 848.06 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.53 : 1,277.03 = 848.06 : x
  2. Step 2: Convert to fraction form
    926.53/1,277.03 = 848.06/x
  3. Step 3: Cross multiply
    926.53x = 1,277.03 × 848.06
  4. Step 4: Simplify right side
    926.53x = 1,082,998.06
  5. Step 5: Solve for x
    x = 1,082,998.06/926.53
  6. Step 6: Final answer
    x = 1,168.88

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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.