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Finding the Fourth Proportional to 1,129.71, 1,693.74 and 513.09

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Solution

The fourth proportional to 1,129.71, 1,693.74 and 513.09 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.71 : 1,693.74 = 513.09 : x
  2. Step 2: Convert to fraction form
    1,129.71/1,693.74 = 513.09/x
  3. Step 3: Cross multiply
    1,129.71x = 1,693.74 × 513.09
  4. Step 4: Simplify right side
    1,129.71x = 869,041.06
  5. Step 5: Solve for x
    x = 869,041.06/1,129.71
  6. Step 6: Final answer
    x = 769.26

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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.