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Finding the Fourth Proportional to 670.62, 923.43 and 594.86

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Solution

The fourth proportional to 670.62, 923.43 and 594.86 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.62 : 923.43 = 594.86 : x
  2. Step 2: Convert to fraction form
    670.62/923.43 = 594.86/x
  3. Step 3: Cross multiply
    670.62x = 923.43 × 594.86
  4. Step 4: Simplify right side
    670.62x = 549,309.18
  5. Step 5: Solve for x
    x = 549,309.18/670.62
  6. Step 6: Final answer
    x = 819.10

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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.