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Finding the Fourth Proportional to 873.90, 1,204.06 and 803.16

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Solution

The fourth proportional to 873.90, 1,204.06 and 803.16 is: 1,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,204.06 = 803.16 : x
  2. Step 2: Convert to fraction form
    873.90/1,204.06 = 803.16/x
  3. Step 3: Cross multiply
    873.90x = 1,204.06 × 803.16
  4. Step 4: Simplify right side
    873.90x = 967,052.83
  5. Step 5: Solve for x
    x = 967,052.83/873.90
  6. Step 6: Final answer
    x = 1,106.59

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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.