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Finding the Fourth Proportional to 839.77, 1,259.65 and 352.70

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Solution

The fourth proportional to 839.77, 1,259.65 and 352.70 is: 529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.77 : 1,259.65 = 352.70 : x
  2. Step 2: Convert to fraction form
    839.77/1,259.65 = 352.70/x
  3. Step 3: Cross multiply
    839.77x = 1,259.65 × 352.70
  4. Step 4: Simplify right side
    839.77x = 444,284.51
  5. Step 5: Solve for x
    x = 444,284.51/839.77
  6. Step 6: Final answer
    x = 529.06

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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.