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Finding the Fourth Proportional to 720.06, 992.70 and 595.68

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Solution

The fourth proportional to 720.06, 992.70 and 595.68 is: 821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.06 : 992.70 = 595.68 : x
  2. Step 2: Convert to fraction form
    720.06/992.70 = 595.68/x
  3. Step 3: Cross multiply
    720.06x = 992.70 × 595.68
  4. Step 4: Simplify right side
    720.06x = 591,331.54
  5. Step 5: Solve for x
    x = 591,331.54/720.06
  6. Step 6: Final answer
    x = 821.23

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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.