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Finding the Fourth Proportional to 945.66, 1,304.91 and 572.61

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Solution

The fourth proportional to 945.66, 1,304.91 and 572.61 is: 790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.66 : 1,304.91 = 572.61 : x
  2. Step 2: Convert to fraction form
    945.66/1,304.91 = 572.61/x
  3. Step 3: Cross multiply
    945.66x = 1,304.91 × 572.61
  4. Step 4: Simplify right side
    945.66x = 747,204.52
  5. Step 5: Solve for x
    x = 747,204.52/945.66
  6. Step 6: Final answer
    x = 790.14

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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.