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Finding the Fourth Proportional to 1,161.69, 1,603.53 and 830.31

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Solution

The fourth proportional to 1,161.69, 1,603.53 and 830.31 is: 1,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.69 : 1,603.53 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,161.69/1,603.53 = 830.31/x
  3. Step 3: Cross multiply
    1,161.69x = 1,603.53 × 830.31
  4. Step 4: Simplify right side
    1,161.69x = 1,331,426.99
  5. Step 5: Solve for x
    x = 1,331,426.99/1,161.69
  6. Step 6: Final answer
    x = 1,146.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.