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Finding the Fourth Proportional to 669.76, 926.40 and 592

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Solution

The fourth proportional to 669.76, 926.40 and 592 is: 818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 926.40 = 592 : x
  2. Step 2: Convert to fraction form
    669.76/926.40 = 592/x
  3. Step 3: Cross multiply
    669.76x = 926.40 × 592
  4. Step 4: Simplify right side
    669.76x = 548,428.80
  5. Step 5: Solve for x
    x = 548,428.80/669.76
  6. Step 6: Final answer
    x = 818.84

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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.