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Finding the Fourth Proportional to 839.80, 1,159.06 and 508.26

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Solution

The fourth proportional to 839.80, 1,159.06 and 508.26 is: 701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.80 : 1,159.06 = 508.26 : x
  2. Step 2: Convert to fraction form
    839.80/1,159.06 = 508.26/x
  3. Step 3: Cross multiply
    839.80x = 1,159.06 × 508.26
  4. Step 4: Simplify right side
    839.80x = 589,103.84
  5. Step 5: Solve for x
    x = 589,103.84/839.80
  6. Step 6: Final answer
    x = 701.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.