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Finding the Fourth Proportional to 1,046.06, 1,443.51 and 573.94

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Solution

The fourth proportional to 1,046.06, 1,443.51 and 573.94 is: 792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.06 : 1,443.51 = 573.94 : x
  2. Step 2: Convert to fraction form
    1,046.06/1,443.51 = 573.94/x
  3. Step 3: Cross multiply
    1,046.06x = 1,443.51 × 573.94
  4. Step 4: Simplify right side
    1,046.06x = 828,492.10
  5. Step 5: Solve for x
    x = 828,492.10/1,046.06
  6. Step 6: Final answer
    x = 792.01

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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.