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Finding the Fourth Proportional to 1,223.04, 1,686.90 and 803.24

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Solution

The fourth proportional to 1,223.04, 1,686.90 and 803.24 is: 1,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,686.90 = 803.24 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,686.90 = 803.24/x
  3. Step 3: Cross multiply
    1,223.04x = 1,686.90 × 803.24
  4. Step 4: Simplify right side
    1,223.04x = 1,354,989.77
  5. Step 5: Solve for x
    x = 1,354,989.77/1,223.04
  6. Step 6: Final answer
    x = 1,107.89

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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.