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Finding the Fourth Proportional to 1,554.34, 2,333.13 and 689.26

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Solution

The fourth proportional to 1,554.34, 2,333.13 and 689.26 is: 1,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.34 : 2,333.13 = 689.26 : x
  2. Step 2: Convert to fraction form
    1,554.34/2,333.13 = 689.26/x
  3. Step 3: Cross multiply
    1,554.34x = 2,333.13 × 689.26
  4. Step 4: Simplify right side
    1,554.34x = 1,608,133.18
  5. Step 5: Solve for x
    x = 1,608,133.18/1,554.34
  6. Step 6: Final answer
    x = 1,034.61

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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.