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Finding the Fourth Proportional to 1,043.60, 1,565.91 and 427.46

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Solution

The fourth proportional to 1,043.60, 1,565.91 and 427.46 is: 641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.60 : 1,565.91 = 427.46 : x
  2. Step 2: Convert to fraction form
    1,043.60/1,565.91 = 427.46/x
  3. Step 3: Cross multiply
    1,043.60x = 1,565.91 × 427.46
  4. Step 4: Simplify right side
    1,043.60x = 669,356.06
  5. Step 5: Solve for x
    x = 669,356.06/1,043.60
  6. Step 6: Final answer
    x = 641.39

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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.