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Finding the Fourth Proportional to 1,470.95, 2,206.56 and 430.96

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Solution

The fourth proportional to 1,470.95, 2,206.56 and 430.96 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.95 : 2,206.56 = 430.96 : x
  2. Step 2: Convert to fraction form
    1,470.95/2,206.56 = 430.96/x
  3. Step 3: Cross multiply
    1,470.95x = 2,206.56 × 430.96
  4. Step 4: Simplify right side
    1,470.95x = 950,939.10
  5. Step 5: Solve for x
    x = 950,939.10/1,470.95
  6. Step 6: Final answer
    x = 646.48

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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.