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Finding the Fourth Proportional to 1,705.66, 2,559.47 and 666.38

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Solution

The fourth proportional to 1,705.66, 2,559.47 and 666.38 is: 999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.66 : 2,559.47 = 666.38 : x
  2. Step 2: Convert to fraction form
    1,705.66/2,559.47 = 666.38/x
  3. Step 3: Cross multiply
    1,705.66x = 2,559.47 × 666.38
  4. Step 4: Simplify right side
    1,705.66x = 1,705,579.62
  5. Step 5: Solve for x
    x = 1,705,579.62/1,705.66
  6. Step 6: Final answer
    x = 999.95

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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.