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Finding the Fourth Proportional to 1,036.24, 1,554.90 and 689.74

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Solution

The fourth proportional to 1,036.24, 1,554.90 and 689.74 is: 1,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.24 : 1,554.90 = 689.74 : x
  2. Step 2: Convert to fraction form
    1,036.24/1,554.90 = 689.74/x
  3. Step 3: Cross multiply
    1,036.24x = 1,554.90 × 689.74
  4. Step 4: Simplify right side
    1,036.24x = 1,072,476.73
  5. Step 5: Solve for x
    x = 1,072,476.73/1,036.24
  6. Step 6: Final answer
    x = 1,034.97

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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.