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Finding the Fourth Proportional to 1,663.05, 2,295.09 and 917.08

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Solution

The fourth proportional to 1,663.05, 2,295.09 and 917.08 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.05 : 2,295.09 = 917.08 : x
  2. Step 2: Convert to fraction form
    1,663.05/2,295.09 = 917.08/x
  3. Step 3: Cross multiply
    1,663.05x = 2,295.09 × 917.08
  4. Step 4: Simplify right side
    1,663.05x = 2,104,775.40
  5. Step 5: Solve for x
    x = 2,104,775.40/1,663.05
  6. Step 6: Final answer
    x = 1,265.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.