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Finding the Fourth Proportional to 834.66, 1,151.34 and 569.07

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Solution

The fourth proportional to 834.66, 1,151.34 and 569.07 is: 784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,151.34 = 569.07 : x
  2. Step 2: Convert to fraction form
    834.66/1,151.34 = 569.07/x
  3. Step 3: Cross multiply
    834.66x = 1,151.34 × 569.07
  4. Step 4: Simplify right side
    834.66x = 655,193.05
  5. Step 5: Solve for x
    x = 655,193.05/834.66
  6. Step 6: Final answer
    x = 784.98

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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.