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Finding the Fourth Proportional to 1,290.42, 1,935.66 and 468.47

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Solution

The fourth proportional to 1,290.42, 1,935.66 and 468.47 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.42 : 1,935.66 = 468.47 : x
  2. Step 2: Convert to fraction form
    1,290.42/1,935.66 = 468.47/x
  3. Step 3: Cross multiply
    1,290.42x = 1,935.66 × 468.47
  4. Step 4: Simplify right side
    1,290.42x = 906,788.96
  5. Step 5: Solve for x
    x = 906,788.96/1,290.42
  6. Step 6: Final answer
    x = 702.71

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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.