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Finding the Fourth Proportional to 1,159.63, 1,590.76 and 1,096.86

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Solution

The fourth proportional to 1,159.63, 1,590.76 and 1,096.86 is: 1,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.63 : 1,590.76 = 1,096.86 : x
  2. Step 2: Convert to fraction form
    1,159.63/1,590.76 = 1,096.86/x
  3. Step 3: Cross multiply
    1,159.63x = 1,590.76 × 1,096.86
  4. Step 4: Simplify right side
    1,159.63x = 1,744,841.01
  5. Step 5: Solve for x
    x = 1,744,841.01/1,159.63
  6. Step 6: Final answer
    x = 1,504.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.