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Finding the Fourth Proportional to 1,646.50, 2,470.83 and 606.51

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Solution

The fourth proportional to 1,646.50, 2,470.83 and 606.51 is: 910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.50 : 2,470.83 = 606.51 : x
  2. Step 2: Convert to fraction form
    1,646.50/2,470.83 = 606.51/x
  3. Step 3: Cross multiply
    1,646.50x = 2,470.83 × 606.51
  4. Step 4: Simplify right side
    1,646.50x = 1,498,580.07
  5. Step 5: Solve for x
    x = 1,498,580.07/1,646.50
  6. Step 6: Final answer
    x = 910.16

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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.