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Finding the Fourth Proportional to 1,305.40, 1,957.84 and 574.80

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Solution

The fourth proportional to 1,305.40, 1,957.84 and 574.80 is: 862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.40 : 1,957.84 = 574.80 : x
  2. Step 2: Convert to fraction form
    1,305.40/1,957.84 = 574.80/x
  3. Step 3: Cross multiply
    1,305.40x = 1,957.84 × 574.80
  4. Step 4: Simplify right side
    1,305.40x = 1,125,366.43
  5. Step 5: Solve for x
    x = 1,125,366.43/1,305.40
  6. Step 6: Final answer
    x = 862.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.