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Finding the Fourth Proportional to 873.33, 1,309.69 and 527.05

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Solution

The fourth proportional to 873.33, 1,309.69 and 527.05 is: 790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.33 : 1,309.69 = 527.05 : x
  2. Step 2: Convert to fraction form
    873.33/1,309.69 = 527.05/x
  3. Step 3: Cross multiply
    873.33x = 1,309.69 × 527.05
  4. Step 4: Simplify right side
    873.33x = 690,272.11
  5. Step 5: Solve for x
    x = 690,272.11/873.33
  6. Step 6: Final answer
    x = 790.39

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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.