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Finding the Fourth Proportional to 661.96, 991.72 and 589.06

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Solution

The fourth proportional to 661.96, 991.72 and 589.06 is: 882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.96 : 991.72 = 589.06 : x
  2. Step 2: Convert to fraction form
    661.96/991.72 = 589.06/x
  3. Step 3: Cross multiply
    661.96x = 991.72 × 589.06
  4. Step 4: Simplify right side
    661.96x = 584,182.58
  5. Step 5: Solve for x
    x = 584,182.58/661.96
  6. Step 6: Final answer
    x = 882.50

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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.