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Finding the Fourth Proportional to 1,554.63, 2,331.93 and 732.45

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Solution

The fourth proportional to 1,554.63, 2,331.93 and 732.45 is: 1,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.63 : 2,331.93 = 732.45 : x
  2. Step 2: Convert to fraction form
    1,554.63/2,331.93 = 732.45/x
  3. Step 3: Cross multiply
    1,554.63x = 2,331.93 × 732.45
  4. Step 4: Simplify right side
    1,554.63x = 1,708,033.62
  5. Step 5: Solve for x
    x = 1,708,033.62/1,554.63
  6. Step 6: Final answer
    x = 1,098.68

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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.