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Finding the Fourth Proportional to 1,689.36, 2,534.20 and 535.12

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Solution

The fourth proportional to 1,689.36, 2,534.20 and 535.12 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.36 : 2,534.20 = 535.12 : x
  2. Step 2: Convert to fraction form
    1,689.36/2,534.20 = 535.12/x
  3. Step 3: Cross multiply
    1,689.36x = 2,534.20 × 535.12
  4. Step 4: Simplify right side
    1,689.36x = 1,356,101.10
  5. Step 5: Solve for x
    x = 1,356,101.10/1,689.36
  6. Step 6: Final answer
    x = 802.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.