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Finding the Fourth Proportional to 1,705.69, 2,557.14 and 665.16

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Solution

The fourth proportional to 1,705.69, 2,557.14 and 665.16 is: 997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.69 : 2,557.14 = 665.16 : x
  2. Step 2: Convert to fraction form
    1,705.69/2,557.14 = 665.16/x
  3. Step 3: Cross multiply
    1,705.69x = 2,557.14 × 665.16
  4. Step 4: Simplify right side
    1,705.69x = 1,700,907.24
  5. Step 5: Solve for x
    x = 1,700,907.24/1,705.69
  6. Step 6: Final answer
    x = 997.20

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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.