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Finding the Fourth Proportional to 675.84, 931.32 and 609.60

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Solution

The fourth proportional to 675.84, 931.32 and 609.60 is: 840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 931.32 = 609.60 : x
  2. Step 2: Convert to fraction form
    675.84/931.32 = 609.60/x
  3. Step 3: Cross multiply
    675.84x = 931.32 × 609.60
  4. Step 4: Simplify right side
    675.84x = 567,732.67
  5. Step 5: Solve for x
    x = 567,732.67/675.84
  6. Step 6: Final answer
    x = 840.04

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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.