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Finding the Fourth Proportional to 1,698.05, 2,545.86 and 657.17

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Solution

The fourth proportional to 1,698.05, 2,545.86 and 657.17 is: 985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.05 : 2,545.86 = 657.17 : x
  2. Step 2: Convert to fraction form
    1,698.05/2,545.86 = 657.17/x
  3. Step 3: Cross multiply
    1,698.05x = 2,545.86 × 657.17
  4. Step 4: Simplify right side
    1,698.05x = 1,673,056.45
  5. Step 5: Solve for x
    x = 1,673,056.45/1,698.05
  6. Step 6: Final answer
    x = 985.28

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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.