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Finding the Fourth Proportional to 726.89, 1,002.56 and 609.98

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Solution

The fourth proportional to 726.89, 1,002.56 and 609.98 is: 841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.89 : 1,002.56 = 609.98 : x
  2. Step 2: Convert to fraction form
    726.89/1,002.56 = 609.98/x
  3. Step 3: Cross multiply
    726.89x = 1,002.56 × 609.98
  4. Step 4: Simplify right side
    726.89x = 611,533.49
  5. Step 5: Solve for x
    x = 611,533.49/726.89
  6. Step 6: Final answer
    x = 841.31

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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.