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Finding the Fourth Proportional to 1,403.78, 1,937.24 and 782.78

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Solution

The fourth proportional to 1,403.78, 1,937.24 and 782.78 is: 1,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.78 : 1,937.24 = 782.78 : x
  2. Step 2: Convert to fraction form
    1,403.78/1,937.24 = 782.78/x
  3. Step 3: Cross multiply
    1,403.78x = 1,937.24 × 782.78
  4. Step 4: Simplify right side
    1,403.78x = 1,516,432.73
  5. Step 5: Solve for x
    x = 1,516,432.73/1,403.78
  6. Step 6: Final answer
    x = 1,080.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.