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Finding the Fourth Proportional to 1,695.98, 2,544.16 and 463.34

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Solution

The fourth proportional to 1,695.98, 2,544.16 and 463.34 is: 695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.98 : 2,544.16 = 463.34 : x
  2. Step 2: Convert to fraction form
    1,695.98/2,544.16 = 463.34/x
  3. Step 3: Cross multiply
    1,695.98x = 2,544.16 × 463.34
  4. Step 4: Simplify right side
    1,695.98x = 1,178,811.09
  5. Step 5: Solve for x
    x = 1,178,811.09/1,695.98
  6. Step 6: Final answer
    x = 695.06

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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.