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Finding the Fourth Proportional to 1,231.70, 1,699.88 and 700.77

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Solution

The fourth proportional to 1,231.70, 1,699.88 and 700.77 is: 967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.70 : 1,699.88 = 700.77 : x
  2. Step 2: Convert to fraction form
    1,231.70/1,699.88 = 700.77/x
  3. Step 3: Cross multiply
    1,231.70x = 1,699.88 × 700.77
  4. Step 4: Simplify right side
    1,231.70x = 1,191,226.66
  5. Step 5: Solve for x
    x = 1,191,226.66/1,231.70
  6. Step 6: Final answer
    x = 967.14

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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.