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Finding the Fourth Proportional to 1,231.20, 1,699.20 and 707.28

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Solution

The fourth proportional to 1,231.20, 1,699.20 and 707.28 is: 976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,699.20 = 707.28 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,699.20 = 707.28/x
  3. Step 3: Cross multiply
    1,231.20x = 1,699.20 × 707.28
  4. Step 4: Simplify right side
    1,231.20x = 1,201,810.18
  5. Step 5: Solve for x
    x = 1,201,810.18/1,231.20
  6. Step 6: Final answer
    x = 976.13

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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.