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Finding the Fourth Proportional to 1,135.39, 1,703.33 and 468.31

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Solution

The fourth proportional to 1,135.39, 1,703.33 and 468.31 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.39 : 1,703.33 = 468.31 : x
  2. Step 2: Convert to fraction form
    1,135.39/1,703.33 = 468.31/x
  3. Step 3: Cross multiply
    1,135.39x = 1,703.33 × 468.31
  4. Step 4: Simplify right side
    1,135.39x = 797,680.03
  5. Step 5: Solve for x
    x = 797,680.03/1,135.39
  6. Step 6: Final answer
    x = 702.56

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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.