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Finding the Fourth Proportional to 1,074.11, 1,609.65 and 456.98

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Solution

The fourth proportional to 1,074.11, 1,609.65 and 456.98 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.11 : 1,609.65 = 456.98 : x
  2. Step 2: Convert to fraction form
    1,074.11/1,609.65 = 456.98/x
  3. Step 3: Cross multiply
    1,074.11x = 1,609.65 × 456.98
  4. Step 4: Simplify right side
    1,074.11x = 735,569.81
  5. Step 5: Solve for x
    x = 735,569.81/1,074.11
  6. Step 6: Final answer
    x = 684.82

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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.