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Finding the Fourth Proportional to 613.98, 916.73 and 527.19

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Solution

The fourth proportional to 613.98, 916.73 and 527.19 is: 787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 916.73 = 527.19 : x
  2. Step 2: Convert to fraction form
    613.98/916.73 = 527.19/x
  3. Step 3: Cross multiply
    613.98x = 916.73 × 527.19
  4. Step 4: Simplify right side
    613.98x = 483,288.25
  5. Step 5: Solve for x
    x = 483,288.25/613.98
  6. Step 6: Final answer
    x = 787.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.