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Finding the Fourth Proportional to 1,012.35, 1,514.86 and 837.39

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Solution

The fourth proportional to 1,012.35, 1,514.86 and 837.39 is: 1,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.35 : 1,514.86 = 837.39 : x
  2. Step 2: Convert to fraction form
    1,012.35/1,514.86 = 837.39/x
  3. Step 3: Cross multiply
    1,012.35x = 1,514.86 × 837.39
  4. Step 4: Simplify right side
    1,012.35x = 1,268,528.62
  5. Step 5: Solve for x
    x = 1,268,528.62/1,012.35
  6. Step 6: Final answer
    x = 1,253.05

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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.