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Finding the Fourth Proportional to 1,470.64, 2,205.44 and 430.37

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Solution

The fourth proportional to 1,470.64, 2,205.44 and 430.37 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.64 : 2,205.44 = 430.37 : x
  2. Step 2: Convert to fraction form
    1,470.64/2,205.44 = 430.37/x
  3. Step 3: Cross multiply
    1,470.64x = 2,205.44 × 430.37
  4. Step 4: Simplify right side
    1,470.64x = 949,158.57
  5. Step 5: Solve for x
    x = 949,158.57/1,470.64
  6. Step 6: Final answer
    x = 645.41

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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.