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Finding the Fourth Proportional to 1,230.57, 1,697.93 and 782.57

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Solution

The fourth proportional to 1,230.57, 1,697.93 and 782.57 is: 1,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.57 : 1,697.93 = 782.57 : x
  2. Step 2: Convert to fraction form
    1,230.57/1,697.93 = 782.57/x
  3. Step 3: Cross multiply
    1,230.57x = 1,697.93 × 782.57
  4. Step 4: Simplify right side
    1,230.57x = 1,328,749.08
  5. Step 5: Solve for x
    x = 1,328,749.08/1,230.57
  6. Step 6: Final answer
    x = 1,079.78

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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.