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Finding the Fourth Proportional to 873.65, 1,205.12 and 524.27

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Solution

The fourth proportional to 873.65, 1,205.12 and 524.27 is: 723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.65 : 1,205.12 = 524.27 : x
  2. Step 2: Convert to fraction form
    873.65/1,205.12 = 524.27/x
  3. Step 3: Cross multiply
    873.65x = 1,205.12 × 524.27
  4. Step 4: Simplify right side
    873.65x = 631,799.62
  5. Step 5: Solve for x
    x = 631,799.62/873.65
  6. Step 6: Final answer
    x = 723.18

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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.