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Finding the Fourth Proportional to 1,200.95, 1,802.16 and 470.54

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Solution

The fourth proportional to 1,200.95, 1,802.16 and 470.54 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.95 : 1,802.16 = 470.54 : x
  2. Step 2: Convert to fraction form
    1,200.95/1,802.16 = 470.54/x
  3. Step 3: Cross multiply
    1,200.95x = 1,802.16 × 470.54
  4. Step 4: Simplify right side
    1,200.95x = 847,979.36
  5. Step 5: Solve for x
    x = 847,979.36/1,200.95
  6. Step 6: Final answer
    x = 706.09

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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.