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Finding the Fourth Proportional to 684.04, 1,024.46 and 500.98

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Solution

The fourth proportional to 684.04, 1,024.46 and 500.98 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 1,024.46 = 500.98 : x
  2. Step 2: Convert to fraction form
    684.04/1,024.46 = 500.98/x
  3. Step 3: Cross multiply
    684.04x = 1,024.46 × 500.98
  4. Step 4: Simplify right side
    684.04x = 513,233.97
  5. Step 5: Solve for x
    x = 513,233.97/684.04
  6. Step 6: Final answer
    x = 750.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.