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Finding the Fourth Proportional to 1,201.72, 1,657.95 and 782.59

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Solution

The fourth proportional to 1,201.72, 1,657.95 and 782.59 is: 1,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.72 : 1,657.95 = 782.59 : x
  2. Step 2: Convert to fraction form
    1,201.72/1,657.95 = 782.59/x
  3. Step 3: Cross multiply
    1,201.72x = 1,657.95 × 782.59
  4. Step 4: Simplify right side
    1,201.72x = 1,297,495.09
  5. Step 5: Solve for x
    x = 1,297,495.09/1,201.72
  6. Step 6: Final answer
    x = 1,079.70

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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.