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Finding the Fourth Proportional to 720.46, 993.88 and 510.68

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Solution

The fourth proportional to 720.46, 993.88 and 510.68 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 993.88 = 510.68 : x
  2. Step 2: Convert to fraction form
    720.46/993.88 = 510.68/x
  3. Step 3: Cross multiply
    720.46x = 993.88 × 510.68
  4. Step 4: Simplify right side
    720.46x = 507,554.64
  5. Step 5: Solve for x
    x = 507,554.64/720.46
  6. Step 6: Final answer
    x = 704.49

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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.