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Finding the Fourth Proportional to 833.58, 1,251.32 and 468.81

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Solution

The fourth proportional to 833.58, 1,251.32 and 468.81 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.58 : 1,251.32 = 468.81 : x
  2. Step 2: Convert to fraction form
    833.58/1,251.32 = 468.81/x
  3. Step 3: Cross multiply
    833.58x = 1,251.32 × 468.81
  4. Step 4: Simplify right side
    833.58x = 586,628.99
  5. Step 5: Solve for x
    x = 586,628.99/833.58
  6. Step 6: Final answer
    x = 703.75

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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.