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Finding the Fourth Proportional to 1,073.37, 1,609.35 and 456.90

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Solution

The fourth proportional to 1,073.37, 1,609.35 and 456.90 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.37 : 1,609.35 = 456.90 : x
  2. Step 2: Convert to fraction form
    1,073.37/1,609.35 = 456.90/x
  3. Step 3: Cross multiply
    1,073.37x = 1,609.35 × 456.90
  4. Step 4: Simplify right side
    1,073.37x = 735,312.02
  5. Step 5: Solve for x
    x = 735,312.02/1,073.37
  6. Step 6: Final answer
    x = 685.05

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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.