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Finding the Fourth Proportional to 945, 1,304.10 and 552.06

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Solution

The fourth proportional to 945, 1,304.10 and 552.06 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,304.10 = 552.06 : x
  2. Step 2: Convert to fraction form
    945/1,304.10 = 552.06/x
  3. Step 3: Cross multiply
    945x = 1,304.10 × 552.06
  4. Step 4: Simplify right side
    945x = 719,941.45
  5. Step 5: Solve for x
    x = 719,941.45/945
  6. Step 6: Final answer
    x = 761.84

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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.