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Finding the Fourth Proportional to 1,201.60, 1,801.69 and 470.32

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Solution

The fourth proportional to 1,201.60, 1,801.69 and 470.32 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.60 : 1,801.69 = 470.32 : x
  2. Step 2: Convert to fraction form
    1,201.60/1,801.69 = 470.32/x
  3. Step 3: Cross multiply
    1,201.60x = 1,801.69 × 470.32
  4. Step 4: Simplify right side
    1,201.60x = 847,370.84
  5. Step 5: Solve for x
    x = 847,370.84/1,201.60
  6. Step 6: Final answer
    x = 705.20

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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.