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Finding the Fourth Proportional to 1,537.35, 2,306.39 and 612.87

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Solution

The fourth proportional to 1,537.35, 2,306.39 and 612.87 is: 919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.35 : 2,306.39 = 612.87 : x
  2. Step 2: Convert to fraction form
    1,537.35/2,306.39 = 612.87/x
  3. Step 3: Cross multiply
    1,537.35x = 2,306.39 × 612.87
  4. Step 4: Simplify right side
    1,537.35x = 1,413,514.17
  5. Step 5: Solve for x
    x = 1,413,514.17/1,537.35
  6. Step 6: Final answer
    x = 919.45

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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.