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Finding the Fourth Proportional to 1,232.70, 1,700.64 and 790.53

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Solution

The fourth proportional to 1,232.70, 1,700.64 and 790.53 is: 1,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.70 : 1,700.64 = 790.53 : x
  2. Step 2: Convert to fraction form
    1,232.70/1,700.64 = 790.53/x
  3. Step 3: Cross multiply
    1,232.70x = 1,700.64 × 790.53
  4. Step 4: Simplify right side
    1,232.70x = 1,344,406.94
  5. Step 5: Solve for x
    x = 1,344,406.94/1,232.70
  6. Step 6: Final answer
    x = 1,090.62

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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.