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Finding the Fourth Proportional to 1,046.54, 1,444.38 and 580.88

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Solution

The fourth proportional to 1,046.54, 1,444.38 and 580.88 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.54 : 1,444.38 = 580.88 : x
  2. Step 2: Convert to fraction form
    1,046.54/1,444.38 = 580.88/x
  3. Step 3: Cross multiply
    1,046.54x = 1,444.38 × 580.88
  4. Step 4: Simplify right side
    1,046.54x = 839,011.45
  5. Step 5: Solve for x
    x = 839,011.45/1,046.54
  6. Step 6: Final answer
    x = 801.70

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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.