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Finding the Fourth Proportional to 916.17, 1,263.95 and 584.79

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Solution

The fourth proportional to 916.17, 1,263.95 and 584.79 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.17 : 1,263.95 = 584.79 : x
  2. Step 2: Convert to fraction form
    916.17/1,263.95 = 584.79/x
  3. Step 3: Cross multiply
    916.17x = 1,263.95 × 584.79
  4. Step 4: Simplify right side
    916.17x = 739,142.40
  5. Step 5: Solve for x
    x = 739,142.40/916.17
  6. Step 6: Final answer
    x = 806.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.