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Finding the Fourth Proportional to 669.10, 1,002.45 and 592.30

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Solution

The fourth proportional to 669.10, 1,002.45 and 592.30 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.10 : 1,002.45 = 592.30 : x
  2. Step 2: Convert to fraction form
    669.10/1,002.45 = 592.30/x
  3. Step 3: Cross multiply
    669.10x = 1,002.45 × 592.30
  4. Step 4: Simplify right side
    669.10x = 593,751.14
  5. Step 5: Solve for x
    x = 593,751.14/669.10
  6. Step 6: Final answer
    x = 887.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.