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Finding the Fourth Proportional to 1,043.34, 1,565.61 and 466.21

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Solution

The fourth proportional to 1,043.34, 1,565.61 and 466.21 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.34 : 1,565.61 = 466.21 : x
  2. Step 2: Convert to fraction form
    1,043.34/1,565.61 = 466.21/x
  3. Step 3: Cross multiply
    1,043.34x = 1,565.61 × 466.21
  4. Step 4: Simplify right side
    1,043.34x = 729,903.04
  5. Step 5: Solve for x
    x = 729,903.04/1,043.34
  6. Step 6: Final answer
    x = 699.58

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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.