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Finding the Fourth Proportional to 1,470.71, 2,206.16 and 430.74

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Solution

The fourth proportional to 1,470.71, 2,206.16 and 430.74 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.71 : 2,206.16 = 430.74 : x
  2. Step 2: Convert to fraction form
    1,470.71/2,206.16 = 430.74/x
  3. Step 3: Cross multiply
    1,470.71x = 2,206.16 × 430.74
  4. Step 4: Simplify right side
    1,470.71x = 950,279.20
  5. Step 5: Solve for x
    x = 950,279.20/1,470.71
  6. Step 6: Final answer
    x = 646.14

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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.