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Finding the Fourth Proportional to 916.26, 1,264.55 and 706.27

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Solution

The fourth proportional to 916.26, 1,264.55 and 706.27 is: 974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.26 : 1,264.55 = 706.27 : x
  2. Step 2: Convert to fraction form
    916.26/1,264.55 = 706.27/x
  3. Step 3: Cross multiply
    916.26x = 1,264.55 × 706.27
  4. Step 4: Simplify right side
    916.26x = 893,113.73
  5. Step 5: Solve for x
    x = 893,113.73/916.26
  6. Step 6: Final answer
    x = 974.74

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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.