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Finding the Fourth Proportional to 979.89, 1,352.04 and 587.04

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Solution

The fourth proportional to 979.89, 1,352.04 and 587.04 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.89 : 1,352.04 = 587.04 : x
  2. Step 2: Convert to fraction form
    979.89/1,352.04 = 587.04/x
  3. Step 3: Cross multiply
    979.89x = 1,352.04 × 587.04
  4. Step 4: Simplify right side
    979.89x = 793,701.56
  5. Step 5: Solve for x
    x = 793,701.56/979.89
  6. Step 6: Final answer
    x = 809.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.