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Finding the Fourth Proportional to 1,231.96, 1,699.66 and 790.12

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Solution

The fourth proportional to 1,231.96, 1,699.66 and 790.12 is: 1,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.96 : 1,699.66 = 790.12 : x
  2. Step 2: Convert to fraction form
    1,231.96/1,699.66 = 790.12/x
  3. Step 3: Cross multiply
    1,231.96x = 1,699.66 × 790.12
  4. Step 4: Simplify right side
    1,231.96x = 1,342,935.36
  5. Step 5: Solve for x
    x = 1,342,935.36/1,231.96
  6. Step 6: Final answer
    x = 1,090.08

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1.5x scale

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.