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Finding the Fourth Proportional to 1,133.98, 1,564.97 and 661.99

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Solution

The fourth proportional to 1,133.98, 1,564.97 and 661.99 is: 913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.98 : 1,564.97 = 661.99 : x
  2. Step 2: Convert to fraction form
    1,133.98/1,564.97 = 661.99/x
  3. Step 3: Cross multiply
    1,133.98x = 1,564.97 × 661.99
  4. Step 4: Simplify right side
    1,133.98x = 1,035,994.49
  5. Step 5: Solve for x
    x = 1,035,994.49/1,133.98
  6. Step 6: Final answer
    x = 913.59

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