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Finding the Fourth Proportional to 916.10, 1,263.54 and 584.18

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Solution

The fourth proportional to 916.10, 1,263.54 and 584.18 is: 805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.10 : 1,263.54 = 584.18 : x
  2. Step 2: Convert to fraction form
    916.10/1,263.54 = 584.18/x
  3. Step 3: Cross multiply
    916.10x = 1,263.54 × 584.18
  4. Step 4: Simplify right side
    916.10x = 738,134.80
  5. Step 5: Solve for x
    x = 738,134.80/916.10
  6. Step 6: Final answer
    x = 805.74

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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.