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Finding the Fourth Proportional to 1,100.99, 1,657.73 and 971.84

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Solution

The fourth proportional to 1,100.99, 1,657.73 and 971.84 is: 1,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.99 : 1,657.73 = 971.84 : x
  2. Step 2: Convert to fraction form
    1,100.99/1,657.73 = 971.84/x
  3. Step 3: Cross multiply
    1,100.99x = 1,657.73 × 971.84
  4. Step 4: Simplify right side
    1,100.99x = 1,611,048.32
  5. Step 5: Solve for x
    x = 1,611,048.32/1,100.99
  6. Step 6: Final answer
    x = 1,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.