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Finding the Fourth Proportional to 916.47, 1,263.87 and 618.39

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Solution

The fourth proportional to 916.47, 1,263.87 and 618.39 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.47 : 1,263.87 = 618.39 : x
  2. Step 2: Convert to fraction form
    916.47/1,263.87 = 618.39/x
  3. Step 3: Cross multiply
    916.47x = 1,263.87 × 618.39
  4. Step 4: Simplify right side
    916.47x = 781,564.57
  5. Step 5: Solve for x
    x = 781,564.57/916.47
  6. Step 6: Final answer
    x = 852.80

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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.