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Finding the Fourth Proportional to 1,201.08, 1,800.48 and 470.46

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Solution

The fourth proportional to 1,201.08, 1,800.48 and 470.46 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.08 : 1,800.48 = 470.46 : x
  2. Step 2: Convert to fraction form
    1,201.08/1,800.48 = 470.46/x
  3. Step 3: Cross multiply
    1,201.08x = 1,800.48 × 470.46
  4. Step 4: Simplify right side
    1,201.08x = 847,053.82
  5. Step 5: Solve for x
    x = 847,053.82/1,201.08
  6. Step 6: Final answer
    x = 705.24

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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.