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Finding the Fourth Proportional to 669.30, 1,001.49 and 589.11

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Solution

The fourth proportional to 669.30, 1,001.49 and 589.11 is: 881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.30 : 1,001.49 = 589.11 : x
  2. Step 2: Convert to fraction form
    669.30/1,001.49 = 589.11/x
  3. Step 3: Cross multiply
    669.30x = 1,001.49 × 589.11
  4. Step 4: Simplify right side
    669.30x = 589,987.77
  5. Step 5: Solve for x
    x = 589,987.77/669.30
  6. Step 6: Final answer
    x = 881.50

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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.