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Finding the Fourth Proportional to 1,290.34, 1,934.91 and 468.58

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Solution

The fourth proportional to 1,290.34, 1,934.91 and 468.58 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.34 : 1,934.91 = 468.58 : x
  2. Step 2: Convert to fraction form
    1,290.34/1,934.91 = 468.58/x
  3. Step 3: Cross multiply
    1,290.34x = 1,934.91 × 468.58
  4. Step 4: Simplify right side
    1,290.34x = 906,660.13
  5. Step 5: Solve for x
    x = 906,660.13/1,290.34
  6. Step 6: Final answer
    x = 702.65

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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.