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Finding the Fourth Proportional to 1,108.77, 1,663.56 and 622.23

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Solution

The fourth proportional to 1,108.77, 1,663.56 and 622.23 is: 933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.77 : 1,663.56 = 622.23 : x
  2. Step 2: Convert to fraction form
    1,108.77/1,663.56 = 622.23/x
  3. Step 3: Cross multiply
    1,108.77x = 1,663.56 × 622.23
  4. Step 4: Simplify right side
    1,108.77x = 1,035,116.94
  5. Step 5: Solve for x
    x = 1,035,116.94/1,108.77
  6. Step 6: Final answer
    x = 933.57

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1.5x scale

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.