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Finding the Fourth Proportional to 723.04, 1,084.36 and 203.01

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Solution

The fourth proportional to 723.04, 1,084.36 and 203.01 is: 304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.04 : 1,084.36 = 203.01 : x
  2. Step 2: Convert to fraction form
    723.04/1,084.36 = 203.01/x
  3. Step 3: Cross multiply
    723.04x = 1,084.36 × 203.01
  4. Step 4: Simplify right side
    723.04x = 220,130.50
  5. Step 5: Solve for x
    x = 220,130.50/723.04
  6. Step 6: Final answer
    x = 304.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.