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Finding the Fourth Proportional to 1,204.24, 1,803.72 and 928.32

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Solution

The fourth proportional to 1,204.24, 1,803.72 and 928.32 is: 1,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.24 : 1,803.72 = 928.32 : x
  2. Step 2: Convert to fraction form
    1,204.24/1,803.72 = 928.32/x
  3. Step 3: Cross multiply
    1,204.24x = 1,803.72 × 928.32
  4. Step 4: Simplify right side
    1,204.24x = 1,674,429.35
  5. Step 5: Solve for x
    x = 1,674,429.35/1,204.24
  6. Step 6: Final answer
    x = 1,390.44

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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.