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Finding the Fourth Proportional to 873.26, 1,205.32 and 589.72

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Solution

The fourth proportional to 873.26, 1,205.32 and 589.72 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.26 : 1,205.32 = 589.72 : x
  2. Step 2: Convert to fraction form
    873.26/1,205.32 = 589.72/x
  3. Step 3: Cross multiply
    873.26x = 1,205.32 × 589.72
  4. Step 4: Simplify right side
    873.26x = 710,801.31
  5. Step 5: Solve for x
    x = 710,801.31/873.26
  6. Step 6: Final answer
    x = 813.96

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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.