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Finding the Fourth Proportional to 873.04, 1,203.72 and 706.64

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Solution

The fourth proportional to 873.04, 1,203.72 and 706.64 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.04 : 1,203.72 = 706.64 : x
  2. Step 2: Convert to fraction form
    873.04/1,203.72 = 706.64/x
  3. Step 3: Cross multiply
    873.04x = 1,203.72 × 706.64
  4. Step 4: Simplify right side
    873.04x = 850,596.70
  5. Step 5: Solve for x
    x = 850,596.70/873.04
  6. Step 6: Final answer
    x = 974.29

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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.