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Finding the Fourth Proportional to 945.12, 1,304.16 and 531.12

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Solution

The fourth proportional to 945.12, 1,304.16 and 531.12 is: 732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.12 : 1,304.16 = 531.12 : x
  2. Step 2: Convert to fraction form
    945.12/1,304.16 = 531.12/x
  3. Step 3: Cross multiply
    945.12x = 1,304.16 × 531.12
  4. Step 4: Simplify right side
    945.12x = 692,665.46
  5. Step 5: Solve for x
    x = 692,665.46/945.12
  6. Step 6: Final answer
    x = 732.89

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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.