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Finding the Fourth Proportional to 1,290.08, 1,934.96 and 468.32

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Solution

The fourth proportional to 1,290.08, 1,934.96 and 468.32 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.08 : 1,934.96 = 468.32 : x
  2. Step 2: Convert to fraction form
    1,290.08/1,934.96 = 468.32/x
  3. Step 3: Cross multiply
    1,290.08x = 1,934.96 × 468.32
  4. Step 4: Simplify right side
    1,290.08x = 906,180.47
  5. Step 5: Solve for x
    x = 906,180.47/1,290.08
  6. Step 6: Final answer
    x = 702.42

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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.