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Finding the Fourth Proportional to 1,133.33, 1,564.88 and 735.18

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Solution

The fourth proportional to 1,133.33, 1,564.88 and 735.18 is: 1,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.33 : 1,564.88 = 735.18 : x
  2. Step 2: Convert to fraction form
    1,133.33/1,564.88 = 735.18/x
  3. Step 3: Cross multiply
    1,133.33x = 1,564.88 × 735.18
  4. Step 4: Simplify right side
    1,133.33x = 1,150,468.48
  5. Step 5: Solve for x
    x = 1,150,468.48/1,133.33
  6. Step 6: Final answer
    x = 1,015.12

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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.