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Finding the Fourth Proportional to 854.83, 1,275.70 and 762.56

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Solution

The fourth proportional to 854.83, 1,275.70 and 762.56 is: 1,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.83 : 1,275.70 = 762.56 : x
  2. Step 2: Convert to fraction form
    854.83/1,275.70 = 762.56/x
  3. Step 3: Cross multiply
    854.83x = 1,275.70 × 762.56
  4. Step 4: Simplify right side
    854.83x = 972,802.90
  5. Step 5: Solve for x
    x = 972,802.90/854.83
  6. Step 6: Final answer
    x = 1,138.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.