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Finding the Fourth Proportional to 750.77, 1,125.09 and 588.26

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Solution

The fourth proportional to 750.77, 1,125.09 and 588.26 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.77 : 1,125.09 = 588.26 : x
  2. Step 2: Convert to fraction form
    750.77/1,125.09 = 588.26/x
  3. Step 3: Cross multiply
    750.77x = 1,125.09 × 588.26
  4. Step 4: Simplify right side
    750.77x = 661,848.26
  5. Step 5: Solve for x
    x = 661,848.26/750.77
  6. Step 6: Final answer
    x = 881.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.