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Finding the Fourth Proportional to 1,231.55, 1,699.35 and 707.48

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Solution

The fourth proportional to 1,231.55, 1,699.35 and 707.48 is: 976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.55 : 1,699.35 = 707.48 : x
  2. Step 2: Convert to fraction form
    1,231.55/1,699.35 = 707.48/x
  3. Step 3: Cross multiply
    1,231.55x = 1,699.35 × 707.48
  4. Step 4: Simplify right side
    1,231.55x = 1,202,266.89
  5. Step 5: Solve for x
    x = 1,202,266.89/1,231.55
  6. Step 6: Final answer
    x = 976.22

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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.