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Finding the Fourth Proportional to 834.59, 1,152.15 and 570.41

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Solution

The fourth proportional to 834.59, 1,152.15 and 570.41 is: 787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.59 : 1,152.15 = 570.41 : x
  2. Step 2: Convert to fraction form
    834.59/1,152.15 = 570.41/x
  3. Step 3: Cross multiply
    834.59x = 1,152.15 × 570.41
  4. Step 4: Simplify right side
    834.59x = 657,197.88
  5. Step 5: Solve for x
    x = 657,197.88/834.59
  6. Step 6: Final answer
    x = 787.45

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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.