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Finding the Fourth Proportional to 763.63, 1,054.62 and 736.29

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Solution

The fourth proportional to 763.63, 1,054.62 and 736.29 is: 1,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.63 : 1,054.62 = 736.29 : x
  2. Step 2: Convert to fraction form
    763.63/1,054.62 = 736.29/x
  3. Step 3: Cross multiply
    763.63x = 1,054.62 × 736.29
  4. Step 4: Simplify right side
    763.63x = 776,506.16
  5. Step 5: Solve for x
    x = 776,506.16/763.63
  6. Step 6: Final answer
    x = 1,016.87

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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.