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Finding the Fourth Proportional to 669.41, 1,002.77 and 589.22

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Solution

The fourth proportional to 669.41, 1,002.77 and 589.22 is: 882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 1,002.77 = 589.22 : x
  2. Step 2: Convert to fraction form
    669.41/1,002.77 = 589.22/x
  3. Step 3: Cross multiply
    669.41x = 1,002.77 × 589.22
  4. Step 4: Simplify right side
    669.41x = 590,849.19
  5. Step 5: Solve for x
    x = 590,849.19/669.41
  6. Step 6: Final answer
    x = 882.64

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Why These Related Problems?

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