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Finding the Fourth Proportional to 1,470.78, 2,206.19 and 430.87

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Solution

The fourth proportional to 1,470.78, 2,206.19 and 430.87 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.78 : 2,206.19 = 430.87 : x
  2. Step 2: Convert to fraction form
    1,470.78/2,206.19 = 430.87/x
  3. Step 3: Cross multiply
    1,470.78x = 2,206.19 × 430.87
  4. Step 4: Simplify right side
    1,470.78x = 950,578.36
  5. Step 5: Solve for x
    x = 950,578.36/1,470.78
  6. Step 6: Final answer
    x = 646.31

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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.