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Finding the Fourth Proportional to 1,046.07, 1,443.58 and 573.95

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Solution

The fourth proportional to 1,046.07, 1,443.58 and 573.95 is: 792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,443.58 = 573.95 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,443.58 = 573.95/x
  3. Step 3: Cross multiply
    1,046.07x = 1,443.58 × 573.95
  4. Step 4: Simplify right side
    1,046.07x = 828,549.49
  5. Step 5: Solve for x
    x = 828,549.49/1,046.07
  6. Step 6: Final answer
    x = 792.06

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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.