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Finding the Fourth Proportional to 873.62, 1,205.32 and 500.34

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Solution

The fourth proportional to 873.62, 1,205.32 and 500.34 is: 690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.62 : 1,205.32 = 500.34 : x
  2. Step 2: Convert to fraction form
    873.62/1,205.32 = 500.34/x
  3. Step 3: Cross multiply
    873.62x = 1,205.32 × 500.34
  4. Step 4: Simplify right side
    873.62x = 603,069.81
  5. Step 5: Solve for x
    x = 603,069.81/873.62
  6. Step 6: Final answer
    x = 690.31

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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.