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Finding the Fourth Proportional to 598.85, 901.79 and 522.71

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Solution

The fourth proportional to 598.85, 901.79 and 522.71 is: 787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 901.79 = 522.71 : x
  2. Step 2: Convert to fraction form
    598.85/901.79 = 522.71/x
  3. Step 3: Cross multiply
    598.85x = 901.79 × 522.71
  4. Step 4: Simplify right side
    598.85x = 471,374.29
  5. Step 5: Solve for x
    x = 471,374.29/598.85
  6. Step 6: Final answer
    x = 787.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.