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Finding the Fourth Proportional to 833.56, 1,250.70 and 469

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Solution

The fourth proportional to 833.56, 1,250.70 and 469 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,250.70 = 469 : x
  2. Step 2: Convert to fraction form
    833.56/1,250.70 = 469/x
  3. Step 3: Cross multiply
    833.56x = 1,250.70 × 469
  4. Step 4: Simplify right side
    833.56x = 586,578.30
  5. Step 5: Solve for x
    x = 586,578.30/833.56
  6. Step 6: Final answer
    x = 703.70

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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.