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Finding the Fourth Proportional to 1,159.63, 1,739.60 and 337.96

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Solution

The fourth proportional to 1,159.63, 1,739.60 and 337.96 is: 506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.63 : 1,739.60 = 337.96 : x
  2. Step 2: Convert to fraction form
    1,159.63/1,739.60 = 337.96/x
  3. Step 3: Cross multiply
    1,159.63x = 1,739.60 × 337.96
  4. Step 4: Simplify right side
    1,159.63x = 587,911.71
  5. Step 5: Solve for x
    x = 587,911.71/1,159.63
  6. Step 6: Final answer
    x = 506.98

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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.