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Finding the Fourth Proportional to 1,695.98, 2,543.55 and 463.39

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Solution

The fourth proportional to 1,695.98, 2,543.55 and 463.39 is: 694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.98 : 2,543.55 = 463.39 : x
  2. Step 2: Convert to fraction form
    1,695.98/2,543.55 = 463.39/x
  3. Step 3: Cross multiply
    1,695.98x = 2,543.55 × 463.39
  4. Step 4: Simplify right side
    1,695.98x = 1,178,655.63
  5. Step 5: Solve for x
    x = 1,178,655.63/1,695.98
  6. Step 6: Final answer
    x = 694.97

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