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Finding the Fourth Proportional to 598.69, 826.68 and 509.29

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Solution

The fourth proportional to 598.69, 826.68 and 509.29 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.69 : 826.68 = 509.29 : x
  2. Step 2: Convert to fraction form
    598.69/826.68 = 509.29/x
  3. Step 3: Cross multiply
    598.69x = 826.68 × 509.29
  4. Step 4: Simplify right side
    598.69x = 421,019.86
  5. Step 5: Solve for x
    x = 421,019.86/598.69
  6. Step 6: Final answer
    x = 703.24

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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.