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Finding the Fourth Proportional to 1,232.52, 1,699.77 and 790.34

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Solution

The fourth proportional to 1,232.52, 1,699.77 and 790.34 is: 1,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.52 : 1,699.77 = 790.34 : x
  2. Step 2: Convert to fraction form
    1,232.52/1,699.77 = 790.34/x
  3. Step 3: Cross multiply
    1,232.52x = 1,699.77 × 790.34
  4. Step 4: Simplify right side
    1,232.52x = 1,343,387.72
  5. Step 5: Solve for x
    x = 1,343,387.72/1,232.52
  6. Step 6: Final answer
    x = 1,089.95

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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.