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Finding the Fourth Proportional to 1,537.36, 2,304.55 and 612.61

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Solution

The fourth proportional to 1,537.36, 2,304.55 and 612.61 is: 918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.36 : 2,304.55 = 612.61 : x
  2. Step 2: Convert to fraction form
    1,537.36/2,304.55 = 612.61/x
  3. Step 3: Cross multiply
    1,537.36x = 2,304.55 × 612.61
  4. Step 4: Simplify right side
    1,537.36x = 1,411,790.38
  5. Step 5: Solve for x
    x = 1,411,790.38/1,537.36
  6. Step 6: Final answer
    x = 918.32

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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.