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Finding the Fourth Proportional to 669.66, 924.03 and 586.44

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Solution

The fourth proportional to 669.66, 924.03 and 586.44 is: 809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 924.03 = 586.44 : x
  2. Step 2: Convert to fraction form
    669.66/924.03 = 586.44/x
  3. Step 3: Cross multiply
    669.66x = 924.03 × 586.44
  4. Step 4: Simplify right side
    669.66x = 541,888.15
  5. Step 5: Solve for x
    x = 541,888.15/669.66
  6. Step 6: Final answer
    x = 809.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.