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Finding the Fourth Proportional to 1,045.34, 1,443.07 and 672.54

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Solution

The fourth proportional to 1,045.34, 1,443.07 and 672.54 is: 928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.34 : 1,443.07 = 672.54 : x
  2. Step 2: Convert to fraction form
    1,045.34/1,443.07 = 672.54/x
  3. Step 3: Cross multiply
    1,045.34x = 1,443.07 × 672.54
  4. Step 4: Simplify right side
    1,045.34x = 970,522.06
  5. Step 5: Solve for x
    x = 970,522.06/1,045.34
  6. Step 6: Final answer
    x = 928.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.