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Finding the Fourth Proportional to 720.09, 993.92 and 510.35

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Solution

The fourth proportional to 720.09, 993.92 and 510.35 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.09 : 993.92 = 510.35 : x
  2. Step 2: Convert to fraction form
    720.09/993.92 = 510.35/x
  3. Step 3: Cross multiply
    720.09x = 993.92 × 510.35
  4. Step 4: Simplify right side
    720.09x = 507,239.55
  5. Step 5: Solve for x
    x = 507,239.55/720.09
  6. Step 6: Final answer
    x = 704.41

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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.