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Finding the Fourth Proportional to 839.86, 1,159.10 and 508.30

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Solution

The fourth proportional to 839.86, 1,159.10 and 508.30 is: 701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.86 : 1,159.10 = 508.30 : x
  2. Step 2: Convert to fraction form
    839.86/1,159.10 = 508.30/x
  3. Step 3: Cross multiply
    839.86x = 1,159.10 × 508.30
  4. Step 4: Simplify right side
    839.86x = 589,170.53
  5. Step 5: Solve for x
    x = 589,170.53/839.86
  6. Step 6: Final answer
    x = 701.51

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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.