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Finding the Fourth Proportional to 719.68, 993.40 and 545.04

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Solution

The fourth proportional to 719.68, 993.40 and 545.04 is: 752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 993.40 = 545.04 : x
  2. Step 2: Convert to fraction form
    719.68/993.40 = 545.04/x
  3. Step 3: Cross multiply
    719.68x = 993.40 × 545.04
  4. Step 4: Simplify right side
    719.68x = 541,442.74
  5. Step 5: Solve for x
    x = 541,442.74/719.68
  6. Step 6: Final answer
    x = 752.34

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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.