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Finding the Fourth Proportional to 719.75, 992.04 and 595.01

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Solution

The fourth proportional to 719.75, 992.04 and 595.01 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 992.04 = 595.01 : x
  2. Step 2: Convert to fraction form
    719.75/992.04 = 595.01/x
  3. Step 3: Cross multiply
    719.75x = 992.04 × 595.01
  4. Step 4: Simplify right side
    719.75x = 590,273.72
  5. Step 5: Solve for x
    x = 590,273.72/719.75
  6. Step 6: Final answer
    x = 820.11

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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.