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Finding the Fourth Proportional to 1,223.13, 1,688.04 and 699.24

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Solution

The fourth proportional to 1,223.13, 1,688.04 and 699.24 is: 965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.13 : 1,688.04 = 699.24 : x
  2. Step 2: Convert to fraction form
    1,223.13/1,688.04 = 699.24/x
  3. Step 3: Cross multiply
    1,223.13x = 1,688.04 × 699.24
  4. Step 4: Simplify right side
    1,223.13x = 1,180,345.09
  5. Step 5: Solve for x
    x = 1,180,345.09/1,223.13
  6. Step 6: Final answer
    x = 965.02

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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.