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Finding the Fourth Proportional to 900.39, 1,351.49 and 468.51

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Solution

The fourth proportional to 900.39, 1,351.49 and 468.51 is: 703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.39 : 1,351.49 = 468.51 : x
  2. Step 2: Convert to fraction form
    900.39/1,351.49 = 468.51/x
  3. Step 3: Cross multiply
    900.39x = 1,351.49 × 468.51
  4. Step 4: Simplify right side
    900.39x = 633,184.24
  5. Step 5: Solve for x
    x = 633,184.24/900.39
  6. Step 6: Final answer
    x = 703.23

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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.