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Finding the Fourth Proportional to 1,046.54, 1,444.04 and 604.46

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Solution

The fourth proportional to 1,046.54, 1,444.04 and 604.46 is: 834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.54 : 1,444.04 = 604.46 : x
  2. Step 2: Convert to fraction form
    1,046.54/1,444.04 = 604.46/x
  3. Step 3: Cross multiply
    1,046.54x = 1,444.04 × 604.46
  4. Step 4: Simplify right side
    1,046.54x = 872,864.42
  5. Step 5: Solve for x
    x = 872,864.42/1,046.54
  6. Step 6: Final answer
    x = 834.05

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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.