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Finding the Fourth Proportional to 1,043.74, 1,565.57 and 427.29

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Solution

The fourth proportional to 1,043.74, 1,565.57 and 427.29 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.74 : 1,565.57 = 427.29 : x
  2. Step 2: Convert to fraction form
    1,043.74/1,565.57 = 427.29/x
  3. Step 3: Cross multiply
    1,043.74x = 1,565.57 × 427.29
  4. Step 4: Simplify right side
    1,043.74x = 668,952.41
  5. Step 5: Solve for x
    x = 668,952.41/1,043.74
  6. Step 6: Final answer
    x = 640.92

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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.