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Finding the Fourth Proportional to 1,209.51, 1,814.25 and 478.23

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Solution

The fourth proportional to 1,209.51, 1,814.25 and 478.23 is: 717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.51 : 1,814.25 = 478.23 : x
  2. Step 2: Convert to fraction form
    1,209.51/1,814.25 = 478.23/x
  3. Step 3: Cross multiply
    1,209.51x = 1,814.25 × 478.23
  4. Step 4: Simplify right side
    1,209.51x = 867,628.78
  5. Step 5: Solve for x
    x = 867,628.78/1,209.51
  6. Step 6: Final answer
    x = 717.34

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1.5x scale

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.