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Finding the Fourth Proportional to 719.72, 993.56 and 510.08

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Solution

The fourth proportional to 719.72, 993.56 and 510.08 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 993.56 = 510.08 : x
  2. Step 2: Convert to fraction form
    719.72/993.56 = 510.08/x
  3. Step 3: Cross multiply
    719.72x = 993.56 × 510.08
  4. Step 4: Simplify right side
    719.72x = 506,795.08
  5. Step 5: Solve for x
    x = 506,795.08/719.72
  6. Step 6: Final answer
    x = 704.16

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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.