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Finding the Fourth Proportional to 1,223.80, 1,688.52 and 699.84

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Solution

The fourth proportional to 1,223.80, 1,688.52 and 699.84 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.80 : 1,688.52 = 699.84 : x
  2. Step 2: Convert to fraction form
    1,223.80/1,688.52 = 699.84/x
  3. Step 3: Cross multiply
    1,223.80x = 1,688.52 × 699.84
  4. Step 4: Simplify right side
    1,223.80x = 1,181,693.84
  5. Step 5: Solve for x
    x = 1,181,693.84/1,223.80
  6. Step 6: Final answer
    x = 965.59

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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.