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Finding the Fourth Proportional to 1,046.80, 1,444.67 and 673.55

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Solution

The fourth proportional to 1,046.80, 1,444.67 and 673.55 is: 929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.80 : 1,444.67 = 673.55 : x
  2. Step 2: Convert to fraction form
    1,046.80/1,444.67 = 673.55/x
  3. Step 3: Cross multiply
    1,046.80x = 1,444.67 × 673.55
  4. Step 4: Simplify right side
    1,046.80x = 973,057.48
  5. Step 5: Solve for x
    x = 973,057.48/1,046.80
  6. Step 6: Final answer
    x = 929.55

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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.