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Finding the Fourth Proportional to 784.57, 1,084.13 and 522.94

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Solution

The fourth proportional to 784.57, 1,084.13 and 522.94 is: 722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.57 : 1,084.13 = 522.94 : x
  2. Step 2: Convert to fraction form
    784.57/1,084.13 = 522.94/x
  3. Step 3: Cross multiply
    784.57x = 1,084.13 × 522.94
  4. Step 4: Simplify right side
    784.57x = 566,934.94
  5. Step 5: Solve for x
    x = 566,934.94/784.57
  6. Step 6: Final answer
    x = 722.61

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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.