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Finding the Fourth Proportional to 671.60, 924.26 and 609.50

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Solution

The fourth proportional to 671.60, 924.26 and 609.50 is: 838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 924.26 = 609.50 : x
  2. Step 2: Convert to fraction form
    671.60/924.26 = 609.50/x
  3. Step 3: Cross multiply
    671.60x = 924.26 × 609.50
  4. Step 4: Simplify right side
    671.60x = 563,336.47
  5. Step 5: Solve for x
    x = 563,336.47/671.60
  6. Step 6: Final answer
    x = 838.80

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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.