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Finding the Fourth Proportional to 1,043.64, 1,440.24 and 577.90

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Solution

The fourth proportional to 1,043.64, 1,440.24 and 577.90 is: 797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.64 : 1,440.24 = 577.90 : x
  2. Step 2: Convert to fraction form
    1,043.64/1,440.24 = 577.90/x
  3. Step 3: Cross multiply
    1,043.64x = 1,440.24 × 577.90
  4. Step 4: Simplify right side
    1,043.64x = 832,314.70
  5. Step 5: Solve for x
    x = 832,314.70/1,043.64
  6. Step 6: Final answer
    x = 797.51

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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.