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Finding the Fourth Proportional to 1,133.30, 1,564.50 and 713.85

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Solution

The fourth proportional to 1,133.30, 1,564.50 and 713.85 is: 985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.30 : 1,564.50 = 713.85 : x
  2. Step 2: Convert to fraction form
    1,133.30/1,564.50 = 713.85/x
  3. Step 3: Cross multiply
    1,133.30x = 1,564.50 × 713.85
  4. Step 4: Simplify right side
    1,133.30x = 1,116,818.33
  5. Step 5: Solve for x
    x = 1,116,818.33/1,133.30
  6. Step 6: Final answer
    x = 985.46

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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.