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Finding the Fourth Proportional to 1,291.78, 1,935.99 and 521.86

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Solution

The fourth proportional to 1,291.78, 1,935.99 and 521.86 is: 782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.78 : 1,935.99 = 521.86 : x
  2. Step 2: Convert to fraction form
    1,291.78/1,935.99 = 521.86/x
  3. Step 3: Cross multiply
    1,291.78x = 1,935.99 × 521.86
  4. Step 4: Simplify right side
    1,291.78x = 1,010,315.74
  5. Step 5: Solve for x
    x = 1,010,315.74/1,291.78
  6. Step 6: Final answer
    x = 782.11

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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.