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Finding the Fourth Proportional to 945.51, 1,304.81 and 552.77

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Solution

The fourth proportional to 945.51, 1,304.81 and 552.77 is: 762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.51 : 1,304.81 = 552.77 : x
  2. Step 2: Convert to fraction form
    945.51/1,304.81 = 552.77/x
  3. Step 3: Cross multiply
    945.51x = 1,304.81 × 552.77
  4. Step 4: Simplify right side
    945.51x = 721,259.82
  5. Step 5: Solve for x
    x = 721,259.82/945.51
  6. Step 6: Final answer
    x = 762.83

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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.